Pith Number

pith:L6E4P337

pith:2004:L6E4P337UFB3U3A7SKH4FZPP4M

not attested not anchored not stored refs pending

Quantum Spin Systems

Bruno Nachtergaele

arxiv:math-ph/0409006 v1 · 2004-09-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6E4P337UFB3U3A7SKH4FZPP4M}

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

1 paper in Pith

$K$-Theoretic Obstructions to Linearizing QCA Representations

Receipt and verification

First computed	2026-07-04T14:34:01.922125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f89c7ef7fa143ba6c1f928fc2e5efe33afa5980f40dfb4e350192dbba0b34ee

Aliases

arxiv: math-ph/0409006 · arxiv_version: math-ph/0409006v1 · doi: 10.48550/arxiv.math-ph/0409006 · pith_short_12: L6E4P337UFB3 · pith_short_16: L6E4P337UFB3U3A7 · pith_short_8: L6E4P337

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/L6E4P337UFB3U3A7SKH4FZPP4M \
  | 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: 5f89c7ef7fa143ba6c1f928fc2e5efe33afa5980f40dfb4e350192dbba0b34ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f2a913fd701c399a3261f4eea14e035b6356253a5e6f5e79a999224f29a629",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-09-02T19:24:31Z",
    "title_canon_sha256": "0f31c2af96de3507122115a6e90ed436df9e4db18fcefdec65251f8c9aff2ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0409006",
    "kind": "arxiv",
    "version": 1
  }
}