Pith Number

pith:XXWYEMT6

pith:2021:XXWYEMT6V5ORIIDRYMR6SZYM54

not attested not anchored not stored refs pending

Universality in minor-closed graph classes

Bojan Mohar, Carsten Thomassen, David R. Wood, Robert \v{S}\'amal, Tony Huynh

arxiv:2109.00327 v2 · 2021-09-01 · 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{XXWYEMT6V5ORIIDRYMR6SZYM54}

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	2026-06-26T01:15:12.384098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bded82327eaf5d142071c323e9670cef0e544b86c0cf5f0929efd1acc5adfdc3

Aliases

arxiv: 2109.00327 · arxiv_version: 2109.00327v2 · doi: 10.48550/arxiv.2109.00327 · pith_short_12: XXWYEMT6V5OR · pith_short_16: XXWYEMT6V5ORIIDR · pith_short_8: XXWYEMT6

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/XXWYEMT6V5ORIIDRYMR6SZYM54 \
  | 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: bded82327eaf5d142071c323e9670cef0e544b86c0cf5f0929efd1acc5adfdc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0403154b173e120f5ed65341d8da05bd4f3d647d7934237225740657815a67a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-01T12:19:28Z",
    "title_canon_sha256": "c3d908d8614632f9795ad92f7e93fd586f5266afa3c804978426046df30b6060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00327",
    "kind": "arxiv",
    "version": 2
  }
}