Pith Number

pith:CHZANSN4

pith:2013:CHZANSN4LJEAYRJ3V37UP3ZNRA

not attested not anchored not stored refs pending

Examples of abelian surfaces with everywhere good reduction

Abhinav Kumar, Lassina Dembele

arxiv:1309.3821 v3 · 2013-09-16 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHZANSN4LJEAYRJ3V37UP3ZNRA}

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	2026-05-18T00:41:13.402618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f206c9bc5a480c453baeff47ef2d881bb7b6162177a66d29c21be840148b6e

Aliases

arxiv: 1309.3821 · arxiv_version: 1309.3821v3 · doi: 10.48550/arxiv.1309.3821 · pith_short_12: CHZANSN4LJEA · pith_short_16: CHZANSN4LJEAYRJ3 · pith_short_8: CHZANSN4

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/CHZANSN4LJEAYRJ3V37UP3ZNRA \
  | 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: 11f206c9bc5a480c453baeff47ef2d881bb7b6162177a66d29c21be840148b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ebe42107e0e8d07daefc700419582636424e9c2847d879fdd5a5debc472dce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-16T03:37:21Z",
    "title_canon_sha256": "ba155a0502c0a58c2400ea831598a80f6c55f3e0df82d0e933d671e3596c9cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3821",
    "kind": "arxiv",
    "version": 3
  }
}