Pith Number

pith:BKZUQUOX

pith:2015:BKZUQUOX4R44ODNKRNCTJVWBQQ

not attested not anchored not stored refs pending

Existence of N\'eel order in the S=1 bilinear-biquadratic Heisenberg model via random loops

Benjamin Lees

arxiv:1507.04942 v2 · 2015-07-17 · math-ph · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKZUQUOX4R44ODNKRNCTJVWBQQ}

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	2026-05-18T01:04:41.680892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab34851d7e479c70daa8b4534d6c1841508d060ab2c2d64cc0280441acbe72c

Aliases

arxiv: 1507.04942 · arxiv_version: 1507.04942v2 · doi: 10.48550/arxiv.1507.04942 · pith_short_12: BKZUQUOX4R44 · pith_short_16: BKZUQUOX4R44ODNK · pith_short_8: BKZUQUOX

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/BKZUQUOX4R44ODNKRNCTJVWBQQ \
  | 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: 0ab34851d7e479c70daa8b4534d6c1841508d060ab2c2d64cc0280441acbe72c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d443fb81a254d9df30d09901d59a5c8e7bcbd59a8888e1eb573698685a0e96b2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-17T12:12:53Z",
    "title_canon_sha256": "3dded2b83a2edd62e89270d3264f52e154c6049cf8d2f47a4a7671a90a8c7a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04942",
    "kind": "arxiv",
    "version": 2
  }
}