Pith Number

pith:77Z67MBI

pith:2016:77Z67MBILHWW5MUL4ZUGZIJI6J

not attested not anchored not stored refs pending

Stirling permutations, marked permutations and Stirling derangements

Guan-Huei Duh, Shi-Mei Ma, Yen-chi Roger Lin, Yeong-Nan Yeh

arxiv:1612.07391 v1 · 2016-12-21 · 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{77Z67MBILHWW5MUL4ZUGZIJI6J}

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	2026-05-18T00:54:10.117572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fff3efb02859ed6eb28be6686ca128f245da5beb0d42ddbc14b86fdda6247d82

Aliases

arxiv: 1612.07391 · arxiv_version: 1612.07391v1 · doi: 10.48550/arxiv.1612.07391 · pith_short_12: 77Z67MBILHWW · pith_short_16: 77Z67MBILHWW5MUL · pith_short_8: 77Z67MBI

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/77Z67MBILHWW5MUL4ZUGZIJI6J \
  | 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: fff3efb02859ed6eb28be6686ca128f245da5beb0d42ddbc14b86fdda6247d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1137ac0a559cbe6c2cbb3edd81a9b60bf93ee5fc616f77d9b4c53587000fe076",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-21T23:33:07Z",
    "title_canon_sha256": "d642fa45f8b10c79503f18dee9f2d7bfdb74d0e21d7d2232f94c7c9a6d10d260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07391",
    "kind": "arxiv",
    "version": 1
  }
}