Pith Number

pith:PRW566XS

pith:2017:PRW566XSAOMP6CQAMTYJBMGSCD

not attested not anchored not stored refs pending

On the gonality, treewidth, and orientable genus of a graph

James Stankewicz

arxiv:1704.06255 v1 · 2017-04-20 · math.NT · 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{PRW566XSAOMP6CQAMTYJBMGSCD}

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	2026-05-18T00:46:02.988696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6ddf7af20398ff0a0064f090b0d210fe8e6579d4a383c391d958c444da8e07

Aliases

arxiv: 1704.06255 · arxiv_version: 1704.06255v1 · doi: 10.48550/arxiv.1704.06255 · pith_short_12: PRW566XSAOMP · pith_short_16: PRW566XSAOMP6CQA · pith_short_8: PRW566XS

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/PRW566XSAOMP6CQAMTYJBMGSCD \
  | 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: 7c6ddf7af20398ff0a0064f090b0d210fe8e6579d4a383c391d958c444da8e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2e3b43617197d83b8a2522ba7a6a8e6b19a965370712653ade8fd111f62a9a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-20T17:57:58Z",
    "title_canon_sha256": "6998f49359a1bfdbc803a6869aca4b2096d7c25b8a401d2766b461576a763cba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06255",
    "kind": "arxiv",
    "version": 1
  }
}