Pith Number

pith:NBHNLZTZ

pith:2022:NBHNLZTZVMU7ICL4EU7OJX54PT

not attested not anchored not stored refs pending

Excluded minors are almost fragile II: essential elements

Charles Semple, Geoff Whittle, James Oxley, Nick Brettell

arxiv:2206.13036 v2 · 2022-06-27 · 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{NBHNLZTZVMU7ICL4EU7OJX54PT}

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	2026-07-05T06:48:02.776946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

684ed5e679ab29f4097c253ee4dfbc7cc8f9fe3049037480c8f72a8213100188

Aliases

arxiv: 2206.13036 · arxiv_version: 2206.13036v2 · doi: 10.48550/arxiv.2206.13036 · pith_short_12: NBHNLZTZVMU7 · pith_short_16: NBHNLZTZVMU7ICL4 · pith_short_8: NBHNLZTZ

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/NBHNLZTZVMU7ICL4EU7OJX54PT \
  | 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: 684ed5e679ab29f4097c253ee4dfbc7cc8f9fe3049037480c8f72a8213100188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251a6107e8ca5a0f1b4df32dac420bb1a8b32f09850ead59657f845793d3d302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-27T03:58:48Z",
    "title_canon_sha256": "210cb8d19aca66a92bd728e53399b462c82716bb6cf416d46742d01a62c4cf7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.13036",
    "kind": "arxiv",
    "version": 2
  }
}