Pith Number

pith:2FBPXW5E

pith:1998:2FBPXW5EXEENIDKOHNDKKPLH24

not attested not anchored not stored refs pending

Frame, cotangent and tangent bundles of the quantum plane

P. M. Hajac, R. Matthes

arxiv:math/9803127 v1 · 1998-03-26 · math.QA · 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{2FBPXW5EXEENIDKOHNDKKPLH24}

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	2026-07-04T14:40:29.417914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d142fbdba4b908d40d4e3b46a53d67d73f7f7f43f1ff329c8b7869d8fe295bfe

Aliases

arxiv: math/9803127 · arxiv_version: math/9803127v1 · doi: 10.48550/arxiv.math/9803127 · pith_short_12: 2FBPXW5EXEEN · pith_short_16: 2FBPXW5EXEENIDKO · pith_short_8: 2FBPXW5E

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/2FBPXW5EXEENIDKOHNDKKPLH24 \
  | 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: d142fbdba4b908d40d4e3b46a53d67d73f7f7f43f1ff329c8b7869d8fe295bfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de3986b9db5344ce1ea663b065b6b551b7c7047b07bcbe26514712775095c961",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1998-03-26T00:03:56Z",
    "title_canon_sha256": "a0823e481d16651b0f634b9fe3ecb4cc184695e490e9e1d561d06bbc83fb9ab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803127",
    "kind": "arxiv",
    "version": 1
  }
}