Pith Number

pith:O2XSATLG

pith:2018:O2XSATLGNIHRN7BFEX54DAHL3B

not attested not anchored not stored refs pending

${\rm{TS}}(v,\lambda)$ with cyclic 2-intersecting Gray codes: $v\equiv 0$ or $4\pmod{12}$

John Asplund, Melissa Keranen

arxiv:1805.00535 v2 · 2018-05-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2XSATLGNIHRN7BFEX54DAHL3B}

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	2026-05-17T23:56:41.368143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76af204d666a0f16fc2525fbc180ebd8709fb94ea4e7f073cb35bbea2aaa659f

Aliases

arxiv: 1805.00535 · arxiv_version: 1805.00535v2 · doi: 10.48550/arxiv.1805.00535 · pith_short_12: O2XSATLGNIHR · pith_short_16: O2XSATLGNIHRN7BF · pith_short_8: O2XSATLG

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/O2XSATLGNIHRN7BFEX54DAHL3B \
  | 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: 76af204d666a0f16fc2525fbc180ebd8709fb94ea4e7f073cb35bbea2aaa659f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20ed6a546983146ac6dd1c945ab8bd70c4d49897dc99b853746a43d34a5fc73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-01T20:05:41Z",
    "title_canon_sha256": "d29f3eb3b9d73c23e4942e9573016f051b289c64b4d30c6be83bcdfbe552ceca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00535",
    "kind": "arxiv",
    "version": 2
  }
}