Pith Number

pith:THZHMQP5

pith:2005:THZHMQP5JMUQQLT7AFURKGMT7J

not attested not anchored not stored refs pending

A unified framework for graph algebras and quantum causal histories

David W. Kribs

arxiv:math/0501087 v2 · 2005-01-06 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THZHMQP5JMUQQLT7AFURKGMT7J}

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	2026-07-04T14:39:30.645908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f27641fd4b29082e7f0169151993fa607342d679c5dc34cc0a4a7db4f66baa

Aliases

arxiv: math/0501087 · arxiv_version: math/0501087v2 · doi: 10.48550/arxiv.math/0501087 · pith_short_12: THZHMQP5JMUQ · pith_short_16: THZHMQP5JMUQQLT7 · pith_short_8: THZHMQP5

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/THZHMQP5JMUQQLT7AFURKGMT7J \
  | 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: 99f27641fd4b29082e7f0169151993fa607342d679c5dc34cc0a4a7db4f66baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca635747c8ae1c64582bbca0e27f0d9626ab7cbd7dd1b144cc1f858023539c8b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-01-06T17:11:26Z",
    "title_canon_sha256": "1e75e2a8ee9077c26b7c699c2f44355c9744068e28bf9a0f45780e58580867bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501087",
    "kind": "arxiv",
    "version": 2
  }
}