Pith Number

pith:42CJGWWV

pith:2011:42CJGWWVRNSOUKWSXJD7JNH5FO

not attested not anchored not stored refs pending

Topos co-\'evanescents et g\'en\'eralisations

Ahmed Abbes, Michel Gros

arxiv:1107.2380 v4 · 2011-07-12 · 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{42CJGWWVRNSOUKWSXJD7JNH5FO}

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	2026-05-18T01:33:24.750998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e684935ad58b64ea2ad2ba47f4b4fd2b8a39b41047f686195a74cebbae5c3585

Aliases

arxiv: 1107.2380 · arxiv_version: 1107.2380v4 · doi: 10.48550/arxiv.1107.2380 · pith_short_12: 42CJGWWVRNSO · pith_short_16: 42CJGWWVRNSOUKWS · pith_short_8: 42CJGWWV

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/42CJGWWVRNSOUKWSXJD7JNH5FO \
  | 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: e684935ad58b64ea2ad2ba47f4b4fd2b8a39b41047f686195a74cebbae5c3585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bfa034495cd062de5a79db5df11ba50ff2f300cc4134cdfcba106c871aecbdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-12T19:33:43Z",
    "title_canon_sha256": "38ee3b1701f71c0642f62752c2cdc8949118f7c9d49c579246878121c8e160dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2380",
    "kind": "arxiv",
    "version": 4
  }
}