Pith Number

pith:JXEF35CX

pith:2013:JXEF35CXCUGROIBHSNBSEVIIVP

not attested not anchored not stored refs pending

How to decompose a permutation into a pair of labeled Dyck paths by playing a game

Karola Meszaros, Lionel Levine, Louis J. Billera

arxiv:1306.6744 v1 · 2013-06-28 · math.CO · cs.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXEF35CXCUGROIBHSNBSEVIIVP}

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	2026-05-18T03:19:43.151172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc85df457150d1720279343225508abd460618172c3d0bacaba9cc5398a7744

Aliases

arxiv: 1306.6744 · arxiv_version: 1306.6744v1 · doi: 10.48550/arxiv.1306.6744 · pith_short_12: JXEF35CXCUGR · pith_short_16: JXEF35CXCUGROIBH · pith_short_8: JXEF35CX

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/JXEF35CXCUGROIBHSNBSEVIIVP \
  | 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: 4dc85df457150d1720279343225508abd460618172c3d0bacaba9cc5398a7744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19b1f45c3db5a8dea21350e16c2d7746e875b5ed7645465627f30495ce5730ee",
    "cross_cats_sorted": [
      "cs.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-28T07:59:04Z",
    "title_canon_sha256": "89b3b3b940d5339adcb469af53f75fb3f21a92d8c11ecfc3c3e62ab965fd3e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6744",
    "kind": "arxiv",
    "version": 1
  }
}