Pith Number

pith:VBTQ6R35

pith:2012:VBTQ6R35F3HKWTSTFRAHAKIT7M

not attested not anchored not stored refs pending

Tournament Minors

Ilhee Kim, Paul Seymour

arxiv:1206.3135 v1 · 2012-06-14 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBTQ6R35F3HKWTSTFRAHAKIT7M}

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	2026-05-18T03:53:32.593712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8670f477d2eceab4e532c40702913fb333fecf1bd5a80ba3214c6475a60c099

Aliases

arxiv: 1206.3135 · arxiv_version: 1206.3135v1 · doi: 10.48550/arxiv.1206.3135 · pith_short_12: VBTQ6R35F3HK · pith_short_16: VBTQ6R35F3HKWTST · pith_short_8: VBTQ6R35

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/VBTQ6R35F3HKWTSTFRAHAKIT7M \
  | 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: a8670f477d2eceab4e532c40702913fb333fecf1bd5a80ba3214c6475a60c099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58bec044b4538e51d768832a21be6b20fffa5619364b82122dbbaff52a89ad02",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-14T15:17:25Z",
    "title_canon_sha256": "6503f267a7c5c3c2dc00b6600f80661c848eb1d402a870e3c007b0098839bda7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3135",
    "kind": "arxiv",
    "version": 1
  }
}