Pith Number

pith:CLUSZ2AW

pith:2012:CLUSZ2AWG4Z7GYXECYEO2Z3SRX

not attested not anchored not stored refs pending

Distributions of rational points on Kummer Varieties

David Holmes, Ren\'e Pannekoek

arxiv:1211.4597 v2 · 2012-11-19 · 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{CLUSZ2AWG4Z7GYXECYEO2Z3SRX}

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	2026-05-18T03:33:51.594907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12e92ce8163733f362e41608ed67728de331cb43c4ede4b7e0af28c12e66563f

Aliases

arxiv: 1211.4597 · arxiv_version: 1211.4597v2 · doi: 10.48550/arxiv.1211.4597 · pith_short_12: CLUSZ2AWG4Z7 · pith_short_16: CLUSZ2AWG4Z7GYXE · pith_short_8: CLUSZ2AW

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/CLUSZ2AWG4Z7GYXECYEO2Z3SRX \
  | 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: 12e92ce8163733f362e41608ed67728de331cb43c4ede4b7e0af28c12e66563f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1aadac10f482db04f550a56433c7849a5f8785a445438d73e8eb0de4e36712",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-19T21:23:14Z",
    "title_canon_sha256": "8b7e7509bb4b59d4a5c60e69ec2d62ad8dff8f39c9f3f733caca700e6a889714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4597",
    "kind": "arxiv",
    "version": 2
  }
}