Pith Number

pith:XI5APVMD

pith:2001:XI5APVMDDUL5BFSKMQ3GJDVSGP

not attested not anchored not stored refs pending

Differential Geometry of Gerbes

Lawrence Breen, William Messing

arxiv:math/0106083 v3 · 2001-06-11 · math.AG · hep-th · math.CT · 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{XI5APVMDDUL5BFSKMQ3GJDVSGP}

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

4 papers in Pith

Operational total space theory of principal 2-bundles II: 2-connections and 1- and 2--gauge transformations

A toy model for $p$-form gauge symmetry

3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics

Discrete $p$-Form Symmetry and Higher Coulomb Phases

Receipt and verification

First computed	2026-07-04T14:35:22.430894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3a07d5831d17d0964a6436648eb233d6aac435e294a8f6456e36e2059ccfa5

Aliases

arxiv: math/0106083 · arxiv_version: math/0106083v3 · doi: 10.48550/arxiv.math/0106083 · pith_short_12: XI5APVMDDUL5 · pith_short_16: XI5APVMDDUL5BFSK · pith_short_8: XI5APVMD

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/XI5APVMDDUL5BFSKMQ3GJDVSGP \
  | 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: ba3a07d5831d17d0964a6436648eb233d6aac435e294a8f6456e36e2059ccfa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47fded6efcf3e0812b97379f4f60112d7699c56a3f2be3144b253f89e5933883",
    "cross_cats_sorted": [
      "hep-th",
      "math.CT",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-06-11T16:49:37Z",
    "title_canon_sha256": "bf9703641c45a867ce543e3398c8d5c2b8b30e7afe350e7468ecec08a278a11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106083",
    "kind": "arxiv",
    "version": 3
  }
}