Pith Number

pith:V2Y2ILGD

pith:2010:V2Y2ILGDYNNGCO7VZTU6ETX7SU

not attested not anchored not stored refs pending

Holomorphic actions, Kummer examples, and Zimmer Program

Abdelghani Zeghib (UMPA-ENSL), Serge Cantat (IRMAR)

arxiv:1011.4768 v1 · 2010-11-22 · math.AG · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2Y2ILGDYNNGCO7VZTU6ETX7SU}

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	2026-05-18T04:35:04.019909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb1a42cc3c35a613bf5cce9e24eff9520af647d6bc777d2fe3019b1b8d5bcf6

Aliases

arxiv: 1011.4768 · arxiv_version: 1011.4768v1 · doi: 10.48550/arxiv.1011.4768 · pith_short_12: V2Y2ILGDYNNG · pith_short_16: V2Y2ILGDYNNGCO7V · pith_short_8: V2Y2ILGD

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/V2Y2ILGDYNNGCO7VZTU6ETX7SU \
  | 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: aeb1a42cc3c35a613bf5cce9e24eff9520af647d6bc777d2fe3019b1b8d5bcf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ef0b42a79c2b03f0b33bbafe5e085e1867baae4c5aceaeeaf36ea7fb9ca2ab",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-22T10:48:40Z",
    "title_canon_sha256": "73ffc2dbb9a3ba0f46124cbf0ef2aec633a4dcd738cc146cc78ac0ca40e6b04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4768",
    "kind": "arxiv",
    "version": 1
  }
}