Pith Number

pith:ABPIV26H

pith:2008:ABPIV26HPJTZB5OI54KVSPGRMB

not attested not anchored not stored refs pending

Non-Commutative Geometry, Categories and Quantum Physics

(2) University of Newcastle, (3) Chulalongkorn University, Australia, Bangkok, Paolo Bertozzini (1), Roberto Conti (2), Thailand, Thailand), Wicharn Lewkeeratiyutkul (3) ((1) Thammasat University

arxiv:0801.2826 v2 · 2008-01-18 · math.OA · gr-qc · hep-th · math.CT · 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{ABPIV26HPJTZB5OI54KVSPGRMB}

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	2026-05-18T04:05:15.285712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

005e8aebc77a6790f5c8ef15593cd1606346c911b9768e2754046c78107fc9e5

Aliases

arxiv: 0801.2826 · arxiv_version: 0801.2826v2 · doi: 10.48550/arxiv.0801.2826 · pith_short_12: ABPIV26HPJTZ · pith_short_16: ABPIV26HPJTZB5OI · pith_short_8: ABPIV26H

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/ABPIV26HPJTZB5OI54KVSPGRMB \
  | 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: 005e8aebc77a6790f5c8ef15593cd1606346c911b9768e2754046c78107fc9e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d04d7613e12c8caee997874c7f00ffe189bfcb513c2d219570de2d2aa5793058",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.CT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-01-18T07:30:18Z",
    "title_canon_sha256": "49ce957ed56a426a258c0fc81254bb379371cb31f49cf93e77b4f7d4b02b9bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2826",
    "kind": "arxiv",
    "version": 2
  }
}