Pith Number

pith:44OZ5BJG

pith:2011:44OZ5BJG6TT2M7KM5T2F6HSYD7

not attested not anchored not stored refs pending

Courbes multiples primitives et d\'eformations de courbes lisses

Jean-Marc Drezet

arxiv:1104.4868 v2 · 2011-04-26 · 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{44OZ5BJG6TT2M7KM5T2F6HSYD7}

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	2026-05-18T01:59:53.807541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71d9e8526f4e7a67d4cecf45f1e581fce2ce3a2a2d05806385886930675fe14

Aliases

arxiv: 1104.4868 · arxiv_version: 1104.4868v2 · doi: 10.48550/arxiv.1104.4868 · pith_short_12: 44OZ5BJG6TT2 · pith_short_16: 44OZ5BJG6TT2M7KM · pith_short_8: 44OZ5BJG

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/44OZ5BJG6TT2M7KM5T2F6HSYD7 \
  | 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: e71d9e8526f4e7a67d4cecf45f1e581fce2ce3a2a2d05806385886930675fe14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd6bf7a435a5a51cef160559819aab0fed5d88930b6ca7da10701cce2193a24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-26T09:11:53Z",
    "title_canon_sha256": "1f0ceea7c03ec6c926906a6fcbc15a7bc94e04e3142f7fd822082f1ec57a7a97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4868",
    "kind": "arxiv",
    "version": 2
  }
}