Pith Number

pith:P6RORCZV

pith:2024:P6RORCZVDV6CAF267HC6VD6GVC

not attested not anchored not stored refs pending

The Heawood approach to Tait colorings and defining vertex sets

E. Yu. Lerner

arxiv:2411.15992 v1 · 2024-11-24 · 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{P6RORCZVDV6CAF267HC6VD6GVC}

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	2026-07-05T09:40:02.096064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa2e88b351d7c20175ef9c5ea8fc6a8acb1caad41892588d5eaeab4ee51b74e

Aliases

arxiv: 2411.15992 · arxiv_version: 2411.15992v1 · doi: 10.48550/arxiv.2411.15992 · pith_short_12: P6RORCZVDV6C · pith_short_16: P6RORCZVDV6CAF26 · pith_short_8: P6RORCZV

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/P6RORCZVDV6CAF267HC6VD6GVC \
  | 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: 7fa2e88b351d7c20175ef9c5ea8fc6a8acb1caad41892588d5eaeab4ee51b74e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3578b2d43749c63556240c019b5949848141937968dfdc37dcb406d12e3cf122",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-24T22:02:58Z",
    "title_canon_sha256": "9c7e3d115fa1a6d39f002aca43e0df7dcd4153571d413e3f303d2bb2eb70bea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15992",
    "kind": "arxiv",
    "version": 1
  }
}