Pith Number

pith:BFIIC7YG

pith:2003:BFIIC7YGVUI75LJVZWDO75XXRW

not attested not anchored not stored refs pending

Dirac monopoles from the Matsumoto non-commutative spheres

Andrzej Sitarz, Tomasz Brzezinski

arxiv:math-ph/0304037 v1 · 2003-04-28 · math-ph · 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{BFIIC7YGVUI75LJVZWDO75XXRW}

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	2026-07-04T14:33:55.037902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0950817f06ad11fead35cd86eff6f78da3287b7a78ba9958513993424b01fa8e

Aliases

arxiv: math-ph/0304037 · arxiv_version: math-ph/0304037v1 · doi: 10.48550/arxiv.math-ph/0304037 · pith_short_12: BFIIC7YGVUI7 · pith_short_16: BFIIC7YGVUI75LJV · pith_short_8: BFIIC7YG

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/BFIIC7YGVUI75LJVZWDO75XXRW \
  | 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: 0950817f06ad11fead35cd86eff6f78da3287b7a78ba9958513993424b01fa8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5da744550600bcca457a7e4e051c41396b62e942920276b604369a6c8823061",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-04-28T09:28:48Z",
    "title_canon_sha256": "9126e85c34f87ccc09c9841a46a16dfba200a42b32cbc40cd32726fe8be4122f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0304037",
    "kind": "arxiv",
    "version": 1
  }
}