Pith Number

pith:FPX7Q522

pith:2014:FPX7Q522HBLCEFOTYIUTEF7LFO

not attested not anchored not stored refs pending

Cayley graphs with an infinite Heesch number

Azer Akhmedov

arxiv:1412.0358 v2 · 2014-12-01 · math.GR · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPX7Q522HBLCEFOTYIUTEF7LFO}

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	2026-05-18T02:24:28.443663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2beff8775a38562215d3c2293217eb2b8d32ac0e2e326146079cd15dd5da5a4b

Aliases

arxiv: 1412.0358 · arxiv_version: 1412.0358v2 · doi: 10.48550/arxiv.1412.0358 · pith_short_12: FPX7Q522HBLC · pith_short_16: FPX7Q522HBLCEFOT · pith_short_8: FPX7Q522

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/FPX7Q522HBLCEFOTYIUTEF7LFO \
  | 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: 2beff8775a38562215d3c2293217eb2b8d32ac0e2e326146079cd15dd5da5a4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789df335f8ec8c9e4a4ef10deacbe45be9c8c9f769fa37565b82bbf440ba4ae8",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-01T06:09:10Z",
    "title_canon_sha256": "deb9cd258f9a847dea5b59f4699fbf0b7c3a8375951aa02d8948cc4cd9edc29a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0358",
    "kind": "arxiv",
    "version": 2
  }
}