Pith Number

pith:OOQHR7X5

pith:2002:OOQHR7X5ORFUSWW5DZWTV2KZGG

not attested not anchored not stored refs pending

Permutation graphs, fast forward permutations, and sampling the cycle structure of a permutation

Boaz Tsaban

arxiv:cs/0207027 v6 · 2002-07-08 · cs.CR · cs.CC · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOQHR7X5ORFUSWW5DZWTV2KZGG}

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	2026-05-18T04:37:23.244275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a078fefd744b495add1e6d3ae95931ad2d4fe10aee93f722080b2c20c48eb2

Aliases

arxiv: cs/0207027 · arxiv_version: cs/0207027v6 · doi: 10.48550/arxiv.cs/0207027 · pith_short_12: OOQHR7X5ORFU · pith_short_16: OOQHR7X5ORFUSWW5 · pith_short_8: OOQHR7X5

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/OOQHR7X5ORFUSWW5DZWTV2KZGG \
  | 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: 73a078fefd744b495add1e6d3ae95931ad2d4fe10aee93f722080b2c20c48eb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01ad519a0912adbf84de2eed8d0a52d33cff599f9536eb440676131c25834778",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2002-07-08T16:30:10Z",
    "title_canon_sha256": "986521aa7f17f5c0b966b09629c1eafa98136fc7fada677a00a181289420a588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0207027",
    "kind": "arxiv",
    "version": 6
  }
}