Pith Number

pith:OM2Q2OIP

pith:2007:OM2Q2OIP4CTXBZFF2X7W3PLXZB

not attested not anchored not stored refs pending

Quantum graphs with spin Hamiltonians

J. M. Harrison

arxiv:0712.0869 v2 · 2007-12-06 · 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{OM2Q2OIP4CTXBZFF2X7W3PLXZB}

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	2026-05-18T04:34:10.265606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73350d390fe0a770e4a5d5ff6dbd77c8631ffff3c29ce4220b587219f269b315

Aliases

arxiv: 0712.0869 · arxiv_version: 0712.0869v2 · doi: 10.48550/arxiv.0712.0869 · pith_short_12: OM2Q2OIP4CTX · pith_short_16: OM2Q2OIP4CTXBZFF · pith_short_8: OM2Q2OIP

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/OM2Q2OIP4CTXBZFF2X7W3PLXZB \
  | 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: 73350d390fe0a770e4a5d5ff6dbd77c8631ffff3c29ce4220b587219f269b315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d99e2f5e322ed9a6a989def7f3b0461a479a01b2fc0163d713ce6ef884e0e704",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-12-06T05:23:34Z",
    "title_canon_sha256": "f06c841c2691e6c8b108d4846946204fa44afdfa41155047c809e6fd615e32b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0869",
    "kind": "arxiv",
    "version": 2
  }
}