Pith Number

pith:3HF455X7

pith:2012:3HF455X7WXZ5SUN7OM5BZRKB7T

not attested not anchored not stored refs pending

Regularity of curves in abelian varieties

Luigi Lombardi, Wenbo Niu

arxiv:1209.4404 v1 · 2012-09-20 · 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{3HF455X7WXZ5SUN7OM5BZRKB7T}

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	2026-05-18T03:45:11.838253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9cbcef6ffb5f3d951bf733a1cc541fcf9edf33f1712aae813c75833afe70f7f

Aliases

arxiv: 1209.4404 · arxiv_version: 1209.4404v1 · doi: 10.48550/arxiv.1209.4404 · pith_short_12: 3HF455X7WXZ5 · pith_short_16: 3HF455X7WXZ5SUN7 · pith_short_8: 3HF455X7

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/3HF455X7WXZ5SUN7OM5BZRKB7T \
  | 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: d9cbcef6ffb5f3d951bf733a1cc541fcf9edf33f1712aae813c75833afe70f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7965a18d6183412c51cc06de66dbb48b5714610ed608d196837f0884cd022f5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-20T01:08:50Z",
    "title_canon_sha256": "563a922a0972bfa0efd092f2c04ee4357a8dff97b276d91340c7b6e9348c303d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4404",
    "kind": "arxiv",
    "version": 1
  }
}