Pith Number

pith:L5PTOLJU

pith:2009:L5PTOLJUUA4UOF2F26BBZFJRTY

not attested not anchored not stored refs pending

A Survey of Alternating Permutations

Richard P. Stanley

arxiv:0912.4240 v1 · 2009-12-21 · 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{L5PTOLJUUA4UOF2F26BBZFJRTY}

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	2026-07-04T17:18:11.097375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5f372d34a039471745d7821c95319e0bff0714c9077c56ac6c141f001deca1

Aliases

arxiv: 0912.4240 · arxiv_version: 0912.4240v1 · doi: 10.48550/arxiv.0912.4240 · pith_short_12: L5PTOLJUUA4U · pith_short_16: L5PTOLJUUA4UOF2F · pith_short_8: L5PTOLJU

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/L5PTOLJUUA4UOF2F26BBZFJRTY \
  | 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: 5f5f372d34a039471745d7821c95319e0bff0714c9077c56ac6c141f001deca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34938ba9afced741eebe72a0c93f2dd2a4381f1199e331d66027d8db23d56cfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-12-21T19:29:38Z",
    "title_canon_sha256": "0d9587a33df072b6a64450f51ea4770fcd8698c589d03fcaf53ce7c19720f43b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4240",
    "kind": "arxiv",
    "version": 1
  }
}