Pith Number

pith:O6QCKCST

pith:2015:O6QCKCSTXNJYQBEKNXBH33YO2I

not attested not anchored not stored refs pending

The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 6

Colin Maclachlan, Gaven Martin

arxiv:1502.05453 v1 · 2015-02-19 · 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{O6QCKCSTXNJYQBEKNXBH33YO2I}

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	2026-05-18T02:26:46.497864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a0250a53bb5388048a6dc27def0ed23cd9e0c6371e4c963cc0a52c952bf3f1

Aliases

arxiv: 1502.05453 · arxiv_version: 1502.05453v1 · doi: 10.48550/arxiv.1502.05453 · pith_short_12: O6QCKCSTXNJY · pith_short_16: O6QCKCSTXNJYQBEK · pith_short_8: O6QCKCST

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/O6QCKCSTXNJYQBEKNXBH33YO2I \
  | 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: 77a0250a53bb5388048a6dc27def0ed23cd9e0c6371e4c963cc0a52c952bf3f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6750b5a0fdbb0280065c588a6710448f845bfc553740e66586004b8c388c6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-19T01:32:30Z",
    "title_canon_sha256": "7322a59ebea21c4d42c867d42fab2f2e670563ff764fd2dad12583da1b6bd734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05453",
    "kind": "arxiv",
    "version": 1
  }
}