Pith Number

pith:VS7JR5Y2

pith:2015:VS7JR5Y2QBB6P44PBILCJONNQO

not attested not anchored not stored refs pending

Generating functions for descents over permutations which avoid sets of consecutive patterns

Jeffrey B. Remmel, Quang T. Bach

arxiv:1510.04319 v1 · 2015-10-14 · 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{VS7JR5Y2QBB6P44PBILCJONNQO}

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	2026-05-18T01:30:07.482517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acbe98f71a8043e7f38f0a1624b9ad8395c6669246ba36faa294bfb76b1bcc2a

Aliases

arxiv: 1510.04319 · arxiv_version: 1510.04319v1 · doi: 10.48550/arxiv.1510.04319 · pith_short_12: VS7JR5Y2QBB6 · pith_short_16: VS7JR5Y2QBB6P44P · pith_short_8: VS7JR5Y2

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/VS7JR5Y2QBB6P44PBILCJONNQO \
  | 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: acbe98f71a8043e7f38f0a1624b9ad8395c6669246ba36faa294bfb76b1bcc2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa66bf47c863b896f9f2b5e8e2381fe6de3d6530338450fd9572721ed0a9c69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-14T21:12:55Z",
    "title_canon_sha256": "dd11ba3b0d9df84b8eb791b5d602219b6827df1de1d1007ef07150694904fc38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04319",
    "kind": "arxiv",
    "version": 1
  }
}