Pith Number

pith:BADD4SR7

pith:2013:BADD4SR7EBVLWCNDHDZEXAHA2I

not attested not anchored not stored refs pending

Rooted grid minors

D\'aniel Marx, Paul Seymour, Paul Wollan

arxiv:1307.8138 v1 · 2013-07-30 · 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{BADD4SR7EBVLWCNDHDZEXAHA2I}

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	2026-05-18T03:17:02.291574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08063e4a3f206abb09a338f24b80e0d22f01999192968b169bb6be09d7d64d30

Aliases

arxiv: 1307.8138 · arxiv_version: 1307.8138v1 · doi: 10.48550/arxiv.1307.8138 · pith_short_12: BADD4SR7EBVL · pith_short_16: BADD4SR7EBVLWCND · pith_short_8: BADD4SR7

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/BADD4SR7EBVLWCNDHDZEXAHA2I \
  | 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: 08063e4a3f206abb09a338f24b80e0d22f01999192968b169bb6be09d7d64d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f3f1508bbd9a5d6804969670696446f77468e4390dfc7fa063d491e1ffade50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-30T20:27:21Z",
    "title_canon_sha256": "d688fc542741c33bc038fc97fccca88e6a164c16852914f43222a5562bdac605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8138",
    "kind": "arxiv",
    "version": 1
  }
}