Pith Number

pith:WMMOBVRX

pith:2024:WMMOBVRX62L3EICK2DPJIBMHLB

not attested not anchored not stored refs pending

Grid-drawings of graphs in three-dimensions

Ethan Patrick White, Jozsef Balogh

arxiv:2404.02369 v2 · 2024-04-03 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMMOBVRX62L3EICK2DPJIBMHLB}

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	2026-07-05T08:32:12.407147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b318e0d637f697b2204ad0de94058758624768cf1bcb762cda0d7426e8c18e77

Aliases

arxiv: 2404.02369 · arxiv_version: 2404.02369v2 · doi: 10.48550/arxiv.2404.02369 · pith_short_12: WMMOBVRX62L3 · pith_short_16: WMMOBVRX62L3EICK · pith_short_8: WMMOBVRX

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/WMMOBVRX62L3EICK2DPJIBMHLB \
  | 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: b318e0d637f697b2204ad0de94058758624768cf1bcb762cda0d7426e8c18e77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3352fc9fad676e620584a2ab3e3a2c81864a9f34e1889ce20e9b2196213d102b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-03T00:02:23Z",
    "title_canon_sha256": "791a20f00d6fbc7d0f5f025002e2065e1b85b3a6b562c6c95b9e2fa4891e7b62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.02369",
    "kind": "arxiv",
    "version": 2
  }
}