Pith Number

pith:LQP44TW6

pith:2012:LQP44TW6TJTLDBUL34IENVVASZ

not attested not anchored not stored refs pending

An Eulerian permutation statistic and generalizations

Nan Li, Travis Hance

arxiv:1208.3063 v1 · 2012-08-15 · 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{LQP44TW6TJTLDBUL34IENVVASZ}

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	2026-05-18T03:48:45.664240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1fce4ede9a66b1868bdf1046d6a09649fa5da3be740f3d2bc283cf757c536c

Aliases

arxiv: 1208.3063 · arxiv_version: 1208.3063v1 · doi: 10.48550/arxiv.1208.3063 · pith_short_12: LQP44TW6TJTL · pith_short_16: LQP44TW6TJTLDBUL · pith_short_8: LQP44TW6

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/LQP44TW6TJTLDBUL34IENVVASZ \
  | 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: 5c1fce4ede9a66b1868bdf1046d6a09649fa5da3be740f3d2bc283cf757c536c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178d042b3d31476da268e7bd04d70ea63053e86a84c1ca7b6730a6e39de75066",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-15T09:00:23Z",
    "title_canon_sha256": "8f7576031329f1576e895b267cde3ad1b484c54ca6bb76c2da02adae8f239f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3063",
    "kind": "arxiv",
    "version": 1
  }
}