Pith Number

pith:UJA76QMU

pith:2019:UJA76QMUZ5TKKP2FOBGSJECTEY

not attested not anchored not stored refs pending

The planar Cayley graphs are effectively enumerable II

Agelos Georgakopoulos, Matthias Hamann

arxiv:1901.00347 v1 · 2019-01-02 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJA76QMUZ5TKKP2FOBGSJECTEY}

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.

Cited by

1 paper in Pith

Accessibility, planar graphs, and quasi-isometries

Receipt and verification

First computed	2026-05-17T23:57:04.149226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a241ff4194cf66a53f45704d2490532611211000d5c8d223281f9f82b1267232

Aliases

arxiv: 1901.00347 · arxiv_version: 1901.00347v1 · doi: 10.48550/arxiv.1901.00347 · pith_short_12: UJA76QMUZ5TK · pith_short_16: UJA76QMUZ5TKKP2F · pith_short_8: UJA76QMU

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/UJA76QMUZ5TKKP2FOBGSJECTEY \
  | 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: a241ff4194cf66a53f45704d2490532611211000d5c8d223281f9f82b1267232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a004d0c829c28a18eef3ff10d6d66dd9b669c31fc834fdbd175fc96d392cf7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-02T12:49:50Z",
    "title_canon_sha256": "1d02b948ac8f185df899915d31b81c2ddc519cc5e8d9aef151f3ba8300fe7d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00347",
    "kind": "arxiv",
    "version": 1
  }
}