Pith Number

pith:2POZV7CG

pith:2011:2POZV7CGTBSNN7QMRECTSYORII

not attested not anchored not stored refs pending

Weak N\'{e}ron models for cubic polynomial maps over a non-Archimedean field

Jean-Yves Briend, Liang-Chung Hsia

arxiv:1106.4970 v1 · 2011-06-24 · math.NT · math.AG · 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{2POZV7CGTBSNN7QMRECTSYORII}

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	2026-05-18T04:19:22.650006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3dd9afc469864d6fe0c89053961d1423ef7eb6286116e6fdb6e768eb4d3ff3a

Aliases

arxiv: 1106.4970 · arxiv_version: 1106.4970v1 · doi: 10.48550/arxiv.1106.4970 · pith_short_12: 2POZV7CGTBSN · pith_short_16: 2POZV7CGTBSNN7QM · pith_short_8: 2POZV7CG

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/2POZV7CGTBSNN7QMRECTSYORII \
  | 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: d3dd9afc469864d6fe0c89053961d1423ef7eb6286116e6fdb6e768eb4d3ff3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dd4717574285cfc3cc39ca7eb0ac86a6450574e1a06dfb5543a3a68672df3eb",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-24T13:29:40Z",
    "title_canon_sha256": "e06523f0fb186a87f60c1c6efadc7e9ae6dba8d7cb681bc38b7424bc557c9ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4970",
    "kind": "arxiv",
    "version": 1
  }
}