Pith Number

pith:SX7MEEP7

pith:2012:SX7MEEP7Z2BVEMBPP2IP5KDNVA

not attested not anchored not stored refs pending

How to write a permutation as a product of involutions (and why you might care)

Bridget Eileen Tenner, T. Kyle Petersen

arxiv:1202.5319 v1 · 2012-02-23 · 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{SX7MEEP7Z2BVEMBPP2IP5KDNVA}

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	2026-05-18T04:01:37.517146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95fec211ffce8352302f7e90fea86da818b2cb43694f177d7851e865bf571f06

Aliases

arxiv: 1202.5319 · arxiv_version: 1202.5319v1 · doi: 10.48550/arxiv.1202.5319 · pith_short_12: SX7MEEP7Z2BV · pith_short_16: SX7MEEP7Z2BVEMBP · pith_short_8: SX7MEEP7

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/SX7MEEP7Z2BVEMBPP2IP5KDNVA \
  | 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: 95fec211ffce8352302f7e90fea86da818b2cb43694f177d7851e865bf571f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d2d1e8053339ed4a7707174ca9b760e050e00e8c1a205c6630cfde955f0f434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-23T21:02:54Z",
    "title_canon_sha256": "8225f07d8c286981001cfd125ca6db166aee306b6ef6087fd46e0d2a8dd33362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5319",
    "kind": "arxiv",
    "version": 1
  }
}