Pith Number

pith:FJHNG2CS

pith:2004:FJHNG2CSIQXWTHJNX2UNUAQQYQ

not attested not anchored not stored refs pending

The number of unary clones containing the permutations on an infinite set

Michael Pinsker

arxiv:math/0410406 v2 · 2004-10-18 · math.RA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJHNG2CSIQXWTHJNX2UNUAQQYQ}

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	2026-05-18T01:05:25.734514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a4ed36852442f699d2dbea8da0210c43f8a501027c954428b7e32126df09516

Aliases

arxiv: math/0410406 · arxiv_version: math/0410406v2 · doi: 10.48550/arxiv.math/0410406 · pith_short_12: FJHNG2CSIQXW · pith_short_16: FJHNG2CSIQXWTHJN · pith_short_8: FJHNG2CS

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/FJHNG2CSIQXWTHJNX2UNUAQQYQ \
  | 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: 2a4ed36852442f699d2dbea8da0210c43f8a501027c954428b7e32126df09516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec133eedd7df58f9b76ec30954c728acac36ae2e7ef8d573deaba924ca4c8df5",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2004-10-18T20:07:14Z",
    "title_canon_sha256": "3571e5808a02b77a8efc8781aa8535e671640e47c339e554878e7fdbb63f65f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410406",
    "kind": "arxiv",
    "version": 2
  }
}