Pith Number

pith:2N6GOHI2

pith:2007:2N6GOHI2STIKBKGCVFPD2ECOSP

not attested not anchored not stored refs pending

Quasi-tree expansion for the Bollob\'as-Riordan-Tutte polynomial

Abhijit Champanerkar, Ilya Kofman, Neal Stoltzfus

arxiv:0705.3458 v2 · 2007-05-23 · math.CO · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2N6GOHI2STIKBKGCVFPD2ECOSP}

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	2026-05-18T01:10:15.585365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d37c671d1a94d0a0a8c2a95e3d104e93fa5b9a4d53e7f7eac06594a983c8d30a

Aliases

arxiv: 0705.3458 · arxiv_version: 0705.3458v2 · doi: 10.48550/arxiv.0705.3458 · pith_short_12: 2N6GOHI2STIK · pith_short_16: 2N6GOHI2STIKBKGC · pith_short_8: 2N6GOHI2

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/2N6GOHI2STIKBKGCVFPD2ECOSP \
  | 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: d37c671d1a94d0a0a8c2a95e3d104e93fa5b9a4d53e7f7eac06594a983c8d30a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2fc6062a7287cfe3182269c97165a17ec1184506908853e1b6ef74742c1955d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-05-23T20:04:08Z",
    "title_canon_sha256": "a5901c5cdadcabd85c6cea2e97ea333dd2160545867677adce4c333921463590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3458",
    "kind": "arxiv",
    "version": 2
  }
}