Pith Number

pith:XZJLTCSA

pith:2013:XZJLTCSAYK4JQJ5FFXNCWKQXGS

not attested not anchored not stored refs pending

Omitting parentheses from the cyclic notation

Mahir Bilen Can, Yonah Cherniavsky

arxiv:1308.0936 v2 · 2013-08-05 · 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{XZJLTCSAYK4JQJ5FFXNCWKQXGS}

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	2026-05-18T03:14:49.558758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be52b98a40c2b89827a52dda2b2a1734a0fee89e811f00721b9ed1720ecbdf55

Aliases

arxiv: 1308.0936 · arxiv_version: 1308.0936v2 · doi: 10.48550/arxiv.1308.0936 · pith_short_12: XZJLTCSAYK4J · pith_short_16: XZJLTCSAYK4JQJ5F · pith_short_8: XZJLTCSA

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/XZJLTCSAYK4JQJ5FFXNCWKQXGS \
  | 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: be52b98a40c2b89827a52dda2b2a1734a0fee89e811f00721b9ed1720ecbdf55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e96913b4dacda574332a4c45e8c248680d789aba413b0fdf1f74ecb93c18e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-05T10:56:47Z",
    "title_canon_sha256": "bcb91060e0611a8ff141133e9b6ff94ace2d8a88b686c5ea1d97c41784b41a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0936",
    "kind": "arxiv",
    "version": 2
  }
}