Pith Number

pith:NCTENJ2X

pith:2003:NCTENJ2X6HYQYLHUQOCMLWKRJ2

not attested not anchored not stored refs pending

Constructions with bundle gerbes

Stuart Johnson (University of Adelaide)

arxiv:math/0312175 v1 · 2003-12-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCTENJ2X6HYQYLHUQOCMLWKRJ2}

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.

Cited by

2 papers in Pith

Adjusted connections on non-abelian bundle gerbes

A Physicist's Visit to Exotic Spheres

Receipt and verification

First computed	2026-07-04T14:38:04.431598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68a646a757f1f10c2cf48384c5d9514e9188cbc44e02bb5636b4eaa6d80ef88c

Aliases

arxiv: math/0312175 · arxiv_version: math/0312175v1 · doi: 10.48550/arxiv.math/0312175 · pith_short_12: NCTENJ2X6HYQ · pith_short_16: NCTENJ2X6HYQYLHU · pith_short_8: NCTENJ2X

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/NCTENJ2X6HYQYLHUQOCMLWKRJ2 \
  | 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: 68a646a757f1f10c2cf48384c5d9514e9188cbc44e02bb5636b4eaa6d80ef88c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e49b2b236d65b80e503cf602eec402df8d6a67a01ab20670b36c2b9e86e2e03",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-12-09T00:05:55Z",
    "title_canon_sha256": "8296a4a35ff8798a6af1d8e6bebf04cf06198f031b179f6043505c640de37207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312175",
    "kind": "arxiv",
    "version": 1
  }
}