Pith Number

pith:AXBWU6Y6

pith:2007:AXBWU6Y6JBT3BI2V7ANHTFLJM3

not attested not anchored not stored refs pending

Random and exhaustive generation of permutations and cycles

Mark C. Wilson

arxiv:math/0702753 v1 · 2007-02-25 · 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{AXBWU6Y6JBT3BI2V7ANHTFLJM3}

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	2026-05-18T04:02:12.534468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05c36a7b1e4867b0a355f81a79956966ff74f336df8291102316c8fa902341cd

Aliases

arxiv: math/0702753 · arxiv_version: math/0702753v1 · doi: 10.48550/arxiv.math/0702753 · pith_short_12: AXBWU6Y6JBT3 · pith_short_16: AXBWU6Y6JBT3BI2V · pith_short_8: AXBWU6Y6

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/AXBWU6Y6JBT3BI2V7ANHTFLJM3 \
  | 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: 05c36a7b1e4867b0a355f81a79956966ff74f336df8291102316c8fa902341cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d3c4769285ea10d878fab4a280f5aa1001c62cf72fdca7c933f2a86d6c1e8d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-02-25T20:28:33Z",
    "title_canon_sha256": "c6e4cd8798a0938b9dd667d9e3ef8210272e186e3549872a162ec6f7c51dec10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702753",
    "kind": "arxiv",
    "version": 1
  }
}