Pith Number

pith:XCJEAVJW

pith:2016:XCJEAVJWLSINJEPQLDKMPMKA6N

not attested not anchored not stored refs pending

Five subsets of permutations enumerated as weak sorting permutations

David Callan, Toufik Mansour

arxiv:1602.05182 v1 · 2016-02-16 · 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{XCJEAVJWLSINJEPQLDKMPMKA6N}

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	2026-05-18T01:20:37.350426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8924055365c90d491f058d4c7b140f356435443c57bc6491a9379d093398433

Aliases

arxiv: 1602.05182 · arxiv_version: 1602.05182v1 · doi: 10.48550/arxiv.1602.05182 · pith_short_12: XCJEAVJWLSIN · pith_short_16: XCJEAVJWLSINJEPQ · pith_short_8: XCJEAVJW

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/XCJEAVJWLSINJEPQLDKMPMKA6N \
  | 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: b8924055365c90d491f058d4c7b140f356435443c57bc6491a9379d093398433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53cd94ba131acecb099bbf39f67d8a58a7c8fc308324a98c3067746b6bf459c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-16T20:55:44Z",
    "title_canon_sha256": "b0854d3dcbb405bfb4e3704bcd6389b1be07347d2bb9a0c1b98acb9da9679aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05182",
    "kind": "arxiv",
    "version": 1
  }
}