Pith Number

pith:YMR7X6CB

pith:2016:YMR7X6CBNPHR5PH45OE7AXYIXJ

not attested not anchored not stored refs pending

Tutte Polynomials for Directed Graphs

Jordan Awan, Olivier Bernardi

arxiv:1610.01839 v3 · 2016-10-06 · 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{YMR7X6CBNPHR5PH45OE7AXYIXJ}

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	2026-05-17T23:57:15.962402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c323fbf8416bcf1ebcfceb89f05f08ba5d08d9e7f50801640449349fd0aa2064

Aliases

arxiv: 1610.01839 · arxiv_version: 1610.01839v3 · doi: 10.48550/arxiv.1610.01839 · pith_short_12: YMR7X6CBNPHR · pith_short_16: YMR7X6CBNPHR5PH4 · pith_short_8: YMR7X6CB

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/YMR7X6CBNPHR5PH45OE7AXYIXJ \
  | 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: c323fbf8416bcf1ebcfceb89f05f08ba5d08d9e7f50801640449349fd0aa2064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa34e2053ac666b13cec8d9f882ebe32bf2d90186ed285147fde46468874aa2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-06T12:27:57Z",
    "title_canon_sha256": "36030f0dc1ddb22cc789ffcea5bd30f245da8aa3a944a3dc5d750011cd878845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01839",
    "kind": "arxiv",
    "version": 3
  }
}