Pith Number

pith:6FBZDTD2

pith:2000:6FBZDTD23VCA7GHUPJDBGDWMNO

not attested not anchored not stored refs pending

Topology Change and Vector Modules on Noncommutative Surfaces of Rotation

J. Gratus

arxiv:math/0001028 v1 · 2000-01-05 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6FBZDTD23VCA7GHUPJDBGDWMNO}

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	2026-05-18T01:05:38.871637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f14391cc7add440f98f47a46130ecc6b8669f346bd6ba17e05bd6830df4b6511

Aliases

arxiv: math/0001028 · arxiv_version: math/0001028v1 · doi: 10.48550/arxiv.math/0001028 · pith_short_12: 6FBZDTD23VCA · pith_short_16: 6FBZDTD23VCA7GHU · pith_short_8: 6FBZDTD2

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/6FBZDTD23VCA7GHUPJDBGDWMNO \
  | 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: f14391cc7add440f98f47a46130ecc6b8669f346bd6ba17e05bd6830df4b6511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b2e9b3fdffa99d22e9df405e7b19b49a5a47db4867cda8d16c5f2d31cd2f11",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-01-05T15:12:41Z",
    "title_canon_sha256": "74b514f56ad7188fcbccf4d62f305c8e5aff7b6754aebd4956e2f44174b36fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0001028",
    "kind": "arxiv",
    "version": 1
  }
}