Pith Number

pith:FZ7NPCJ4

pith:2002:FZ7NPCJ43XWJYCDBHDG4V4RVKD

not attested not anchored not stored refs pending

Higher order addition laws on Abelian varieties and the fractional quantum Hall effect

Jos\'e Mar\'ia Mu\~noz Porras, Juan Mateos Guilarte

arxiv:math-ph/0212066 v1 · 2002-12-23 · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ7NPCJ43XWJYCDBHDG4V4RVKD}

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	2026-05-18T01:08:59.966806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7ed7893cddec9c086138cdcaf23550cd8e978f33c40d4c69f47325ea5eb005

Aliases

arxiv: math-ph/0212066 · arxiv_version: math-ph/0212066v1 · doi: 10.48550/arxiv.math-ph/0212066 · pith_short_12: FZ7NPCJ43XWJ · pith_short_16: FZ7NPCJ43XWJYCDB · pith_short_8: FZ7NPCJ4

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/FZ7NPCJ43XWJYCDBHDG4V4RVKD \
  | 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: 2e7ed7893cddec9c086138cdcaf23550cd8e978f33c40d4c69f47325ea5eb005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "278436d92bc3b2ca8d250af6184e98fbaf36c5fa5da8a1679699db53cda332ee",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-12-23T11:42:38Z",
    "title_canon_sha256": "04db4f125ff4b4fab3388c01bd4a94bc20925841b622d31d17c3786a3a827c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0212066",
    "kind": "arxiv",
    "version": 1
  }
}