Pith Number

pith:5K2ENTPJ

pith:2004:5K2ENTPJVNTNJUOEC3XUEAH6HV

not attested not anchored not stored refs pending

On the relationship of gerbes to the odd families index theorem

Alan L. Carey, Bai-Ling Wang

arxiv:math/0407243 v2 · 2004-07-14 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5K2ENTPJVNTNJUOEC3XUEAH6HV}

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	2026-07-04T14:50:06.410081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab446cde9ab66d4d1c416ef4200fe3d5b7ed2c95294e3c4aed3475593797323

Aliases

arxiv: math/0407243 · arxiv_version: math/0407243v2 · doi: 10.48550/arxiv.math/0407243 · pith_short_12: 5K2ENTPJVNTN · pith_short_16: 5K2ENTPJVNTNJUOE · pith_short_8: 5K2ENTPJ

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/5K2ENTPJVNTNJUOEC3XUEAH6HV \
  | 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: eab446cde9ab66d4d1c416ef4200fe3d5b7ed2c95294e3c4aed3475593797323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d640cba220519712d9a747ae7dbb85bf0394a6480f95c5d8ee1341e1a60c82",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-07-14T11:47:43Z",
    "title_canon_sha256": "61ac0ee76c4050ecec6110a17ce29e30a06551129b599b5dc68f8004ba2ed3b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407243",
    "kind": "arxiv",
    "version": 2
  }
}