Pith Number

pith:DYCDJHIX

pith:2016:DYCDJHIXBJWU3WESZR77XTDEWT

not attested not anchored not stored refs pending

Six variations on a theme: almost planar graphs

Eoin Mackall, Ilan Weinschelbaum, Jeremy Thomas, Max Lipton, Mike Pierce, Samantha Robinson, Thomas W. Mattman

arxiv:1608.01973 v1 · 2016-08-05 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYCDJHIXBJWU3WESZR77XTDEWT}

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	2026-05-18T00:20:59.234543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e04349d170a6d4dd892cc7ffbcc64b4c5d283b3f8f0c74182d052ef7eb8e367

Aliases

arxiv: 1608.01973 · arxiv_version: 1608.01973v1 · doi: 10.48550/arxiv.1608.01973 · pith_short_12: DYCDJHIXBJWU · pith_short_16: DYCDJHIXBJWU3WES · pith_short_8: DYCDJHIX

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/DYCDJHIXBJWU3WESZR77XTDEWT \
  | 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: 1e04349d170a6d4dd892cc7ffbcc64b4c5d283b3f8f0c74182d052ef7eb8e367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67687290314ff790ea41598ef7fc666a7eb19dc04308f8371bc4f1ec78777ce5",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-05T19:00:00Z",
    "title_canon_sha256": "886e7617d7464a7b90c258cbd1fcf542d47698560830bf9652322f78a70949e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01973",
    "kind": "arxiv",
    "version": 1
  }
}