Pith Number

pith:JJA77T3R

pith:2013:JJA77T3RTS22F5LZ6SRNJMD4RC

not attested not anchored not stored refs pending

Blocks in cycles and k-commuting permutations

Luis Manuel Rivera, Rutilo Moreno

arxiv:1306.5708 v3 · 2013-06-24 · 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{JJA77T3RTS22F5LZ6SRNJMD4RC}

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	2026-05-18T00:36:04.296123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a41ffcf719cb5a2f579f4a2d4b07c8887e79ee02defa0f13c0bccd3b6503c2d

Aliases

arxiv: 1306.5708 · arxiv_version: 1306.5708v3 · doi: 10.48550/arxiv.1306.5708 · pith_short_12: JJA77T3RTS22 · pith_short_16: JJA77T3RTS22F5LZ · pith_short_8: JJA77T3R

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/JJA77T3RTS22F5LZ6SRNJMD4RC \
  | 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: 4a41ffcf719cb5a2f579f4a2d4b07c8887e79ee02defa0f13c0bccd3b6503c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26c58d7e486fb8bc674ee644115c796832e4c264ee87d245164a2a35a296168e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-24T18:53:56Z",
    "title_canon_sha256": "beba200b6c91e5eee32264a06dca305c6cca610e30ec82eeb3f542d962ac1d36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5708",
    "kind": "arxiv",
    "version": 3
  }
}