Pith Number

pith:IE7776CJ

pith:2010:IE7776CJEIMP2L4LCKPNGLISF3

not attested not anchored not stored refs pending

Versal Deformations and Versality in Central Extensions of Jacobi's Schemes

Roger Carles, Toukaiddine Petit

arxiv:1009.0696 v1 · 2010-09-03 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IE7776CJEIMP2L4LCKPNGLISF3}

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	2026-05-18T04:41:25.622105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

413ffff8492218fd2f8b129ed32d122ef922f2ff6b06f1352722c00d0ffd41af

Aliases

arxiv: 1009.0696 · arxiv_version: 1009.0696v1 · doi: 10.48550/arxiv.1009.0696 · pith_short_12: IE7776CJEIMP · pith_short_16: IE7776CJEIMP2L4L · pith_short_8: IE7776CJ

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/IE7776CJEIMP2L4LCKPNGLISF3 \
  | 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: 413ffff8492218fd2f8b129ed32d122ef922f2ff6b06f1352722c00d0ffd41af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05af5ec9f10644797c96c27ecce664c43254fe7fc7daf150d019485bf94804df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-09-03T15:10:21Z",
    "title_canon_sha256": "034899235d66e5efc5cabb858c60eab0302954edbefc195a20e8375115efb90b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0696",
    "kind": "arxiv",
    "version": 1
  }
}