Pith Number

pith:MNILCX4T

pith:2002:MNILCX4TBFJWXH5YZDS22TG76X

not attested not anchored not stored refs pending

Counting occurrences of some subword patterns

A. Burstein, T. Mansour

arxiv:math/0204320 v2 · 2002-04-26 · 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{MNILCX4TBFJWXH5YZDS22TG76X}

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.

Cited by

1 paper in Pith

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints

Receipt and verification

First computed	2026-07-04T14:36:10.036918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6350b15f9309536b9fb8c8e5ad4cdff5c4633b3aa78718a138558952687af777

Aliases

arxiv: math/0204320 · arxiv_version: math/0204320v2 · doi: 10.48550/arxiv.math/0204320 · pith_short_12: MNILCX4TBFJW · pith_short_16: MNILCX4TBFJWXH5Y · pith_short_8: MNILCX4T

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/MNILCX4TBFJWXH5YZDS22TG76X \
  | 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: 6350b15f9309536b9fb8c8e5ad4cdff5c4633b3aa78718a138558952687af777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5210decabf708057fc718594ec0ce15da529f95ad1370303111da0e4a4ddb2ad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2002-04-26T07:30:59Z",
    "title_canon_sha256": "b51bea5af233203031f1281b595c14038f44b6c49ba4fd1dd07080a2c7a26bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204320",
    "kind": "arxiv",
    "version": 2
  }
}