pith. sign in
Pith Number

pith:2W6B2YCD

pith:2011:2W6B2YCDYZ6ZTAMVRRQG4D7UCA
not attested not anchored not stored refs pending

Rooted $K_4$-Minors

David R. Wood, Ruy Fabila-Monroy

arxiv:1102.3760 v1 · 2011-02-18 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2W6B2YCDYZ6ZTAMVRRQG4D7UCA}

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 2026-05-18T03:11:47.450918Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d5bc1d6043c67d9981958c606e0ff4101bb20a503e3c85ac2065906866897ab3

Aliases

arxiv: 1102.3760 · arxiv_version: 1102.3760v1 · doi: 10.48550/arxiv.1102.3760 · pith_short_12: 2W6B2YCDYZ6Z · pith_short_16: 2W6B2YCDYZ6ZTAMV · pith_short_8: 2W6B2YCD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2W6B2YCDYZ6ZTAMVRRQG4D7UCA \
  | 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: d5bc1d6043c67d9981958c606e0ff4101bb20a503e3c85ac2065906866897ab3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8b7c2d97026e1787a2278089adbdd2189563d971f9abf90a7c0ba0648b1387a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-18T06:02:14Z",
    "title_canon_sha256": "d315c4a23e55c3a5d6f9cdc0905c341e40970637f4cfbaa5fd0e6ff212593a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3760",
    "kind": "arxiv",
    "version": 1
  }
}