Pith Number

pith:U5Y7BV24

pith:2013:U5Y7BV242COPIXTTLFKGDKY6RW

not attested not anchored not stored refs pending

Number of permutations with same peak set for signed permutations

Alexander Diaz-Lopez, Francis Castro-Velez, Jose Pastrana, Rita Zevallos, Rosa Orellana

arxiv:1308.6621 v1 · 2013-08-29 · 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{U5Y7BV242COPIXTTLFKGDKY6RW}

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	2026-05-18T03:14:38.625016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a771f0d75cd09cf45e73595461ab1e8dbfc63d8a271ffda200c8c61452ab89ae

Aliases

arxiv: 1308.6621 · arxiv_version: 1308.6621v1 · doi: 10.48550/arxiv.1308.6621 · pith_short_12: U5Y7BV242COP · pith_short_16: U5Y7BV242COPIXTT · pith_short_8: U5Y7BV24

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/U5Y7BV242COPIXTTLFKGDKY6RW \
  | 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: a771f0d75cd09cf45e73595461ab1e8dbfc63d8a271ffda200c8c61452ab89ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "accbd592b00064e9707bf02ce669deb8771644e434e6fe472ae90b705abf3efb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-29T22:57:32Z",
    "title_canon_sha256": "de0d5a4ec51b8c75940c826bb420a215b8a128c2f0d9b82b9945556499bd3d8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6621",
    "kind": "arxiv",
    "version": 1
  }
}