Pith Number

pith:FSHL3AUP

pith:2003:FSHL3AUP4IF5IV3ZZL332YY2TF

not attested not anchored not stored refs pending

Realization of finite Abelian groups by nets in P^2

Eugene), Sergey Yuzvinsky (Univ. of Oregon

arxiv:math/0305242 v1 · 2003-05-16 · math.CO · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSHL3AUP4IF5IV3ZZL332YY2TF}

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	2026-05-18T01:05:28.889538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c8ebd828fe20bd45779caf7bd631a99453c55dc8b5aa6e455ec757bf294e69f

Aliases

arxiv: math/0305242 · arxiv_version: math/0305242v1 · doi: 10.48550/arxiv.math/0305242 · pith_short_12: FSHL3AUP4IF5 · pith_short_16: FSHL3AUP4IF5IV3Z · pith_short_8: FSHL3AUP

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/FSHL3AUP4IF5IV3ZZL332YY2TF \
  | 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: 2c8ebd828fe20bd45779caf7bd631a99453c55dc8b5aa6e455ec757bf294e69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04cdc7914c1e56c5c372373d324c1d756fbd9f19d2283f551328ca47d0a60d01",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-05-16T16:33:22Z",
    "title_canon_sha256": "22fd13d84e11d4b9d07e49b6af759c642e69adbd256e64e1911b4e9d53527f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305242",
    "kind": "arxiv",
    "version": 1
  }
}