Pith Number

pith:G4C5I4YY

pith:2010:G4C5I4YYLLAG4UCJW7C3C5EUKX

not attested not anchored not stored refs pending

Genus Bounds for Harmonic Group Actions on Finite Graphs

Scott Corry

arxiv:1006.0446 v2 · 2010-06-02 · math.CO · 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{G4C5I4YYLLAG4UCJW7C3C5EUKX}

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	2026-05-18T04:06:33.419224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3705d473185ac06e5049b7c5b1749455dbcb8f1959fe2919e6bc8801aa12b33a

Aliases

arxiv: 1006.0446 · arxiv_version: 1006.0446v2 · doi: 10.48550/arxiv.1006.0446 · pith_short_12: G4C5I4YYLLAG · pith_short_16: G4C5I4YYLLAG4UCJ · pith_short_8: G4C5I4YY

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/G4C5I4YYLLAG4UCJW7C3C5EUKX \
  | 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: 3705d473185ac06e5049b7c5b1749455dbcb8f1959fe2919e6bc8801aa12b33a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e9005ba57e63a0d31880ed2f721b9af896fd423c6fe4383803d5ae49048c5b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-02T16:59:25Z",
    "title_canon_sha256": "a51cb68df90d85cbb0625be1ace14a8a6d8c82d98a3c0724d527c4cf60fafda4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0446",
    "kind": "arxiv",
    "version": 2
  }
}