Pith Number

pith:7VRLYWKG

pith:2006:7VRLYWKGBYL6CNOYCFCYXQU66A

not attested not anchored not stored refs pending

The invariants of a genus one curve

Tom Fisher

arxiv:math/0610318 v1 · 2006-10-10 · 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{7VRLYWKGBYL6CNOYCFCYXQU66A}

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	2026-05-18T02:57:45.476341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd62bc59460e17e135d811458bc29ef00f208e27bc6be2c3f91cbe1a0f328607

Aliases

arxiv: math/0610318 · arxiv_version: math/0610318v1 · doi: 10.48550/arxiv.math/0610318 · pith_short_12: 7VRLYWKGBYL6 · pith_short_16: 7VRLYWKGBYL6CNOY · pith_short_8: 7VRLYWKG

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/7VRLYWKGBYL6CNOYCFCYXQU66A \
  | 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: fd62bc59460e17e135d811458bc29ef00f208e27bc6be2c3f91cbe1a0f328607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a37099681eb23948ad6c43044da82a981c3ba5b95559b7592b9ed1716b364fd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-10-10T12:46:35Z",
    "title_canon_sha256": "e0a70f1f71469e0e4d14dc65ec57d499b965d8679350798037035d43e0ac3594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610318",
    "kind": "arxiv",
    "version": 1
  }
}