Pith Number

pith:4K3FEGZR

pith:2014:4K3FEGZR7BHAV2TZ5NYLAZFXPX

not attested not anchored not stored refs pending

Algebraic rank on hyperelliptic graphs and graphs of genus $3$

Kazuhiko Yamaki, Shu Kawaguchi

arxiv:1401.3935 v1 · 2014-01-16 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K3FEGZR7BHAV2TZ5NYLAZFXPX}

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	2026-05-18T01:19:03.814956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b6521b31f84e0aea79eb70b064b77debcd520fced2d5be81a647398699af1f

Aliases

arxiv: 1401.3935 · arxiv_version: 1401.3935v1 · doi: 10.48550/arxiv.1401.3935 · pith_short_12: 4K3FEGZR7BHA · pith_short_16: 4K3FEGZR7BHAV2TZ · pith_short_8: 4K3FEGZR

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/4K3FEGZR7BHAV2TZ5NYLAZFXPX \
  | 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: e2b6521b31f84e0aea79eb70b064b77debcd520fced2d5be81a647398699af1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a530638b799adb01cd9ac463636b14e973e2f44e6346f2932b6e6f84baddc7d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-16T08:47:30Z",
    "title_canon_sha256": "e31642968b9b5238756fdcaa6aec214c21edc48dbe7a71760f59b8166b666a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3935",
    "kind": "arxiv",
    "version": 1
  }
}