Pith Number

pith:MOGC44UU

pith:1999:MOGC44UUU4E45EA6ZZ4TZ6CVAE

not attested not anchored not stored refs pending

Associated quantum vector bundles and symplectic structure on a quantum plane

A. O. Garcia, R. Coquereaux, R. Trinchero

arxiv:math-ph/9908007 v2 · 1999-08-06 · math-ph · hep-th · math.MP · 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{MOGC44UUU4E45EA6ZZ4TZ6CVAE}

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	2026-07-04T16:15:14.916294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638c2e7294a709ce901ece793cf8550103ec0da76b42a604c8ba1f73d1dc3af9

Aliases

arxiv: math-ph/9908007 · arxiv_version: math-ph/9908007v2 · doi: 10.48550/arxiv.math-ph/9908007 · pith_short_12: MOGC44UUU4E4 · pith_short_16: MOGC44UUU4E45EA6 · pith_short_8: MOGC44UU

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/MOGC44UUU4E45EA6ZZ4TZ6CVAE \
  | 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: 638c2e7294a709ce901ece793cf8550103ec0da76b42a604c8ba1f73d1dc3af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c18143285190cff45d338991b15c8bf2fb5acb898096abde86b9abc5c350ca3",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-08-06T11:05:32Z",
    "title_canon_sha256": "287cb38dec108a5b77a90d3fdc0ce3c85fde6f14b172c26725f05d0027eb5ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9908007",
    "kind": "arxiv",
    "version": 2
  }
}