Pith Number

pith:JUC2CURX

pith:2012:JUC2CURXXQYHKCY275ZTAEYCQN

not attested not anchored not stored refs pending

Infinitesimal deformations of rational surface automorphisms

Julien Grivaux

arxiv:1210.7163 v4 · 2012-10-26 · math.DS · 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{JUC2CURXXQYHKCY275ZTAEYCQN}

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	2026-05-17T23:44:10.584343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d05a15237bc30750b1aff73301302835502fe5f88114b02d1c6b963518c4156

Aliases

arxiv: 1210.7163 · arxiv_version: 1210.7163v4 · doi: 10.48550/arxiv.1210.7163 · pith_short_12: JUC2CURXXQYH · pith_short_16: JUC2CURXXQYHKCY2 · pith_short_8: JUC2CURX

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/JUC2CURXXQYHKCY275ZTAEYCQN \
  | 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: 4d05a15237bc30750b1aff73301302835502fe5f88114b02d1c6b963518c4156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fffc99535181aa9b3f16344da5596d0afe9f93ed3ae53beed2bdf9f95693fe4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-26T15:04:26Z",
    "title_canon_sha256": "ef2bcb2a2df565b1a6ea8960174c53c7bba949e10887e39f9d268313b11512e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7163",
    "kind": "arxiv",
    "version": 4
  }
}