Pith Number

pith:FR6EVQBE

pith:2025:FR6EVQBEEEZTCEG3ADAONOHPZM

not attested not anchored not stored refs pending

Cartier duality for gerbes of vector bundles

Juan Esteban Rodr\'iguez Camargo

arxiv:2512.24967 v2 · 2025-12-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FR6EVQBEEEZTCEG3ADAONOHPZM}

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	2026-07-07T02:17:15.762108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c7c4ac02421333110db00c0e6b8efcb39205cfaa8675b3f34dae609de57669d

Aliases

arxiv: 2512.24967 · arxiv_version: 2512.24967v2 · doi: 10.48550/arxiv.2512.24967 · pith_short_12: FR6EVQBEEEZT · pith_short_16: FR6EVQBEEEZTCEG3 · pith_short_8: FR6EVQBE

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/FR6EVQBEEEZTCEG3ADAONOHPZM \
  | 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: 2c7c4ac02421333110db00c0e6b8efcb39205cfaa8675b3f34dae609de57669d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64bc139bbb5588e85054885f8f8e6e45ab1c1defc6533711c353728ea739222",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-31T16:53:35Z",
    "title_canon_sha256": "1cc27512a5bb757b9639b95360a68ff4d58c416935639c08a4be68f8d8baef5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.24967",
    "kind": "arxiv",
    "version": 2
  }
}