Pith Number

pith:4FYPD264

pith:1999:4FYPD264LT462PREVCHYXIVBS7

not attested not anchored not stored refs pending

Bundle gerbes: stable isomorphism and local theory

Daniel Stevenson, Michael K. Murray

arxiv:math/9908135 v1 · 1999-08-26 · 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{4FYPD264LT462PREVCHYXIVBS7}

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

1 paper in Pith

Adjusted connections on non-abelian bundle gerbes

Receipt and verification

First computed	2026-07-04T14:41:17.258088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e170f1ebdc5cf9ed3e24a88f8ba2a197f95552ae9433ae8b68e109474ee30694

Aliases

arxiv: math/9908135 · arxiv_version: math/9908135v1 · doi: 10.48550/arxiv.math/9908135 · pith_short_12: 4FYPD264LT46 · pith_short_16: 4FYPD264LT462PRE · pith_short_8: 4FYPD264

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/4FYPD264LT462PREVCHYXIVBS7 \
  | 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: e170f1ebdc5cf9ed3e24a88f8ba2a197f95552ae9433ae8b68e109474ee30694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7933b94e62415efe9e327e6aa15b83db7ae0ac9678639d8eeb1ca739156357a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-08-26T08:55:25Z",
    "title_canon_sha256": "276687b6248f7e954c7da949d82876431ad299819a3d616914a7f09223e6d472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9908135",
    "kind": "arxiv",
    "version": 1
  }
}