Pith Number

pith:TOAESOQ4

pith:2015:TOAESOQ43HTDF7MFPYE7OFWFLM

not attested not anchored not stored refs pending

Computing graph gonality is hard

Dion Gijswijt, Harry Smit, Marieke van der Wegen

arxiv:1504.06713 v2 · 2015-04-25 · 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{TOAESOQ43HTDF7MFPYE7OFWFLM}

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	2026-05-17T23:48:41.163467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b80493a1cd9e632fd857e09f716c55b275f56f485f2c6bb0e9f8997d4c3fd8f

Aliases

arxiv: 1504.06713 · arxiv_version: 1504.06713v2 · doi: 10.48550/arxiv.1504.06713 · pith_short_12: TOAESOQ43HTD · pith_short_16: TOAESOQ43HTDF7MF · pith_short_8: TOAESOQ4

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/TOAESOQ43HTDF7MFPYE7OFWFLM \
  | 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: 9b80493a1cd9e632fd857e09f716c55b275f56f485f2c6bb0e9f8997d4c3fd8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9fba4c361bee7603d8b2695c6d39664b61970bca93c985c932b345ed19083d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-25T11:28:24Z",
    "title_canon_sha256": "39e1d58b34d8bb26ed5eba93d2e1760cfe321b9a2a27cee0e57eed374ad1f944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06713",
    "kind": "arxiv",
    "version": 2
  }
}