Pith Number

pith:PF63XFUO

pith:2011:PF63XFUO3WNBXEL57BBA42TVDJ

not attested not anchored not stored refs pending

Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems

Bruno Nachtergaele, Robert Sims, Spyridon Michalakis, Sven Bachmann

arxiv:1102.0842 v2 · 2011-02-04 · math-ph · cond-mat.str-el · 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{PF63XFUO3WNBXEL57BBA42TVDJ}

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.

Receipt and verification

First computed	2026-05-18T04:00:26.946096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797dbb968edd9a1b917df8420e6a751a44992791bd4c2d0bf14899cd06e1acc8

Aliases

arxiv: 1102.0842 · arxiv_version: 1102.0842v2 · doi: 10.48550/arxiv.1102.0842 · pith_short_12: PF63XFUO3WNB · pith_short_16: PF63XFUO3WNBXEL5 · pith_short_8: PF63XFUO

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/PF63XFUO3WNBXEL57BBA42TVDJ \
  | 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: 797dbb968edd9a1b917df8420e6a751a44992791bd4c2d0bf14899cd06e1acc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50781d848e3f622b899f7d116ae80a78f6fd87ecc998eb39fa229ce2c8e799a",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-04T07:00:06Z",
    "title_canon_sha256": "990b816660b8a99d87b30d3639a1961faf18237316e7109b2507d797c32b652f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0842",
    "kind": "arxiv",
    "version": 2
  }
}