Pith Number

pith:IDSF7ZFC

pith:2019:IDSF7ZFCL73WG5EYWAQGBMWIZG

not attested not anchored not stored refs pending

Planar cubic graphs of small diameter

Kolja Knauer, Piotr Micek

arxiv:1908.05481 v2 · 2019-08-15 · 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{IDSF7ZFCL73WG5EYWAQGBMWIZG}

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	2026-07-04T23:59:23.399609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e45fe4a25ff7637498b02060b2c8c9aa91a158c60c597550a7cd7e2a7d0146

Aliases

arxiv: 1908.05481 · arxiv_version: 1908.05481v2 · doi: 10.48550/arxiv.1908.05481 · pith_short_12: IDSF7ZFCL73W · pith_short_16: IDSF7ZFCL73WG5EY · pith_short_8: IDSF7ZFC

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/IDSF7ZFCL73WG5EYWAQGBMWIZG \
  | 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: 40e45fe4a25ff7637498b02060b2c8c9aa91a158c60c597550a7cd7e2a7d0146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539e87d0612e2b0a70b432fc17d7138881ff9682ded489aea4d5cb587fa7d0b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-15T10:27:32Z",
    "title_canon_sha256": "1841e8810ddef525ee754d7b5d8051d7b12a8590fb37670c201084927e2dd937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05481",
    "kind": "arxiv",
    "version": 2
  }
}