Pith Number

pith:5GR2EXRP

pith:2011:5GR2EXRPEFWEQPYNW6XVN7NUAF

not attested not anchored not stored refs pending

Infinitesimal Symmetries of Dixmier-Douady Gerbes

Braxton L. Collier

arxiv:1108.1525 v1 · 2011-08-07 · math.DG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GR2EXRPEFWEQPYNW6XVN7NUAF}

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	2026-05-18T04:16:00.821666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a3a25e2f216c483f0db7af56fdb4014c13a25dd3cca231f8a2aa05fa580c16

Aliases

arxiv: 1108.1525 · arxiv_version: 1108.1525v1 · doi: 10.48550/arxiv.1108.1525 · pith_short_12: 5GR2EXRPEFWE · pith_short_16: 5GR2EXRPEFWEQPYN · pith_short_8: 5GR2EXRP

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/5GR2EXRPEFWEQPYNW6XVN7NUAF \
  | 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: e9a3a25e2f216c483f0db7af56fdb4014c13a25dd3cca231f8a2aa05fa580c16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8120b773256f03570d10cb4e644c60370dcdda916bd8064c09475388d5996de",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-07T03:34:27Z",
    "title_canon_sha256": "5aab406ef8c47922228a5f9aba2b3c159d24fcf64414a4d5200cca70ca9b4701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1525",
    "kind": "arxiv",
    "version": 1
  }
}