Pith Number

pith:WJNR4VAR

pith:2012:WJNR4VAR2MBGUSPKXRQWSWRMUF

not attested not anchored not stored refs pending

Bundles over Quantum Real Weighted Projective Spaces

Simon A. Fairfax, Tomasz Brzezi\'nski

arxiv:1207.2313 v1 · 2012-07-10 · 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{WJNR4VAR2MBGUSPKXRQWSWRMUF}

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	2026-05-18T03:51:24.436293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b25b1e5411d3026a49eabc61695a2ca1782daee45e2820eb8944a941418be890

Aliases

arxiv: 1207.2313 · arxiv_version: 1207.2313v1 · doi: 10.48550/arxiv.1207.2313 · pith_short_12: WJNR4VAR2MBG · pith_short_16: WJNR4VAR2MBGUSPK · pith_short_8: WJNR4VAR

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/WJNR4VAR2MBGUSPKXRQWSWRMUF \
  | 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: b25b1e5411d3026a49eabc61695a2ca1782daee45e2820eb8944a941418be890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66aa9edbc6d4e0a1a731a0fef323ed85b861d4977a5a944d2530e0386c7bdd3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-07-10T11:40:40Z",
    "title_canon_sha256": "57f696bb80e368d92a524d7f8172ebbf92faa2ecf3f8c6867e4960e12c67c8c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2313",
    "kind": "arxiv",
    "version": 1
  }
}