Pith Number

pith:54JYHGAL

pith:1999:54JYHGALD7G4QJGRLVP5VADOAJ

not attested not anchored not stored refs pending

Elliptic Curves from Sextics

Mutsuo Oka

arxiv:math/9912041 v3 · 1999-12-06 · 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{54JYHGALD7G4QJGRLVP5VADOAJ}

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	2026-05-18T01:05:32.300420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1383980b1fcdc824d15d5fda806e0240d1a09f7da91b40a6a5498513290efb

Aliases

arxiv: math/9912041 · arxiv_version: math/9912041v3 · doi: 10.48550/arxiv.math/9912041 · pith_short_12: 54JYHGALD7G4 · pith_short_16: 54JYHGALD7G4QJGR · pith_short_8: 54JYHGAL

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/54JYHGALD7G4QJGRLVP5VADOAJ \
  | 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: ef1383980b1fcdc824d15d5fda806e0240d1a09f7da91b40a6a5498513290efb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c044ec95b5510ea09d1ef538315f829f6b61f4f98c0b46836fcde8a847fbc9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-12-06T08:07:24Z",
    "title_canon_sha256": "87d27f090386c9f2a53ebb29cd8b15e9b8080e56b8ca5deff6b451b2a39a5358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912041",
    "kind": "arxiv",
    "version": 3
  }
}