Pith Number

pith:YWG5URPZ

pith:2011:YWG5URPZ4EHW4BFZK3247DTGDB

not attested not anchored not stored refs pending

On the relative importance of excluded minors

Dillon Mayhew, Rhiannon Hall, Stefan H. M. van Zwam

arxiv:1110.6835 v1 · 2011-10-31 · 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{YWG5URPZ4EHW4BFZK3247DTGDB}

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	2026-05-18T04:09:54.103165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58dda45f9e10f6e04b956f5cf8e66184abefef76451e02ffb7c36ad4374bf0f

Aliases

arxiv: 1110.6835 · arxiv_version: 1110.6835v1 · doi: 10.48550/arxiv.1110.6835 · pith_short_12: YWG5URPZ4EHW · pith_short_16: YWG5URPZ4EHW4BFZ · pith_short_8: YWG5URPZ

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/YWG5URPZ4EHW4BFZK3247DTGDB \
  | 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: c58dda45f9e10f6e04b956f5cf8e66184abefef76451e02ffb7c36ad4374bf0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56ac9411a9e49e4fd3df935ac902fe63fafa2d4e6ace80170f7ef365ae22bf13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-31T15:33:41Z",
    "title_canon_sha256": "26cb05081b5aafdef855ba1266af18e51faf7e0290527c6e634a97caba9d513b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6835",
    "kind": "arxiv",
    "version": 1
  }
}