Pith Number

pith:S7P344UZ

pith:2015:S7P344UZ32FD2M63Q6CBRDFOST

not attested not anchored not stored refs pending

Twists over \'etale groupoids and twisted vector bundles

Carla Farsi, Elizabeth Gillaspy

arxiv:1505.00364 v3 · 2015-05-02 · math.OA · math.GN · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7P344UZ32FD2M63Q6CBRDFOST}

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	2026-05-18T01:19:53.896991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97dfbe7299de8a3d33db8784188cae94c23e898c25f17fd8483225f70ddcc998

Aliases

arxiv: 1505.00364 · arxiv_version: 1505.00364v3 · doi: 10.48550/arxiv.1505.00364 · pith_short_12: S7P344UZ32FD · pith_short_16: S7P344UZ32FD2M63 · pith_short_8: S7P344UZ

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/S7P344UZ32FD2M63Q6CBRDFOST \
  | 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: 97dfbe7299de8a3d33db8784188cae94c23e898c25f17fd8483225f70ddcc998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fa93cbafa7165060d2f5b38d3180d227394e041550f5e583eb39313ccd9eb0",
    "cross_cats_sorted": [
      "math.GN",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-02T18:52:32Z",
    "title_canon_sha256": "aa54f23e0995152f6f0f3bf3de2092c9b5b5b292d687adcecb6c944404e058cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00364",
    "kind": "arxiv",
    "version": 3
  }
}