Pith Number

pith:H7XSFJSA

pith:2016:H7XSFJSAMV56254VSLVUH7R2OX

not attested not anchored not stored refs pending

The gonality sequence of complete graphs

Filip Cools, Marta Panizzut

arxiv:1605.03749 v2 · 2016-05-12 · 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{H7XSFJSAMV56254VSLVUH7R2OX}

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	2026-05-18T00:49:24.687400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fef22a640657bed779592eb43fe3a75f97df2c0ea124f590c271d7cab7af8c2

Aliases

arxiv: 1605.03749 · arxiv_version: 1605.03749v2 · doi: 10.48550/arxiv.1605.03749 · pith_short_12: H7XSFJSAMV56 · pith_short_16: H7XSFJSAMV56254V · pith_short_8: H7XSFJSA

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/H7XSFJSAMV56254VSLVUH7R2OX \
  | 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: 3fef22a640657bed779592eb43fe3a75f97df2c0ea124f590c271d7cab7af8c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfffbde327084eee263635aeb8f9316990996be14e4c14377e2c490d9be326e2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-12T10:38:54Z",
    "title_canon_sha256": "bd996f35b14a4712a26f0ece5699cd378f13e7e9b7cb1ef97622671aa1dabc55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03749",
    "kind": "arxiv",
    "version": 2
  }
}