Pith Number

pith:ON3XYGUR

pith:2007:ON3XYGURM5GIURZXOXNKW4MD2S

not attested not anchored not stored refs pending

A symmetry principle for Topological Quantum Order

Gerardo Ortiz, Zohar Nussinov

arxiv:cond-mat/0702377 v5 · 2007-02-16 · cond-mat.str-el · cond-mat.stat-mech · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ON3XYGURM5GIURZXOXNKW4MD2S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics

Discrete $p$-Form Symmetry and Higher Coulomb Phases

Lectures on Generalized Symmetries

Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints

Receipt and verification

First computed	2026-05-18T04:07:29.569460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73777c1a91674c8a473775daab7183d4b4bd3521b507e9c84c94a6b9e1ed98db

Aliases

arxiv: cond-mat/0702377 · arxiv_version: cond-mat/0702377v5 · doi: 10.48550/arxiv.cond-mat/0702377 · pith_short_12: ON3XYGURM5GI · pith_short_16: ON3XYGURM5GIURZX · pith_short_8: ON3XYGUR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ON3XYGURM5GIURZXOXNKW4MD2S \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 73777c1a91674c8a473775daab7183d4b4bd3521b507e9c84c94a6b9e1ed98db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae28e35e6cc8cb4f95c7d7c9cf58cb027951071a8be692072ea99480c288a17",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2007-02-16T06:44:42Z",
    "title_canon_sha256": "ba12409adf1c143a675d80baf600dc1cbc0a91f78cc7058866add140557edb22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0702377",
    "kind": "arxiv",
    "version": 5
  }
}