Pith Number

pith:WA4QX7X7

pith:2017:WA4QX7X7VEVK5EB7BRO37L6OI3

not attested not anchored not stored refs pending

Several extreme coefficients of the Tutte polynomial of graphs

Helin Gong, Mengchen Li, Xian'an Jin

arxiv:1705.10023 v1 · 2017-05-29 · 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{WA4QX7X7VEVK5EB7BRO37L6OI3}

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	2026-05-18T00:43:32.156286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0390bfeffa92aae903f0c5dbfafce46ded8333cf630a71b3c8d3ab3f534ddf0

Aliases

arxiv: 1705.10023 · arxiv_version: 1705.10023v1 · doi: 10.48550/arxiv.1705.10023 · pith_short_12: WA4QX7X7VEVK · pith_short_16: WA4QX7X7VEVK5EB7 · pith_short_8: WA4QX7X7

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/WA4QX7X7VEVK5EB7BRO37L6OI3 \
  | 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: b0390bfeffa92aae903f0c5dbfafce46ded8333cf630a71b3c8d3ab3f534ddf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582fb0f52c18ac09185b00b43ffd26a8f912e2a0142b300e7cbb462b4978d311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-29T02:47:27Z",
    "title_canon_sha256": "2b5bc4d7998d8353a93374a8275bd9e6239c047bd041c9667f61a070d9541541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10023",
    "kind": "arxiv",
    "version": 1
  }
}