Pith Number

pith:BFQ3OTEF

pith:2018:BFQ3OTEFQDRVTCSNAZYPKFJUQX

not attested not anchored not stored refs pending

Patterns in Random Permutations

Chaim Even-Zohar

arxiv:1811.07883 v4 · 2018-11-19 · 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{BFQ3OTEFQDRVTCSNAZYPKFJUQX}

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

Rook sums in the symmetric group algebra

Receipt and verification

First computed	2026-07-05T06:50:08.541231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0961b74c8580e3598a4d0670f5153485fa1c8b2b9e34e8acae148e16ce55add1

Aliases

arxiv: 1811.07883 · arxiv_version: 1811.07883v4 · doi: 10.48550/arxiv.1811.07883 · pith_short_12: BFQ3OTEFQDRV · pith_short_16: BFQ3OTEFQDRVTCSN · pith_short_8: BFQ3OTEF

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/BFQ3OTEFQDRVTCSNAZYPKFJUQX \
  | 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: 0961b74c8580e3598a4d0670f5153485fa1c8b2b9e34e8acae148e16ce55add1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ada29c71914eddbe31db8a3b986e7d3925c236e936d7d5d52bbdc40531455ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-19T18:59:01Z",
    "title_canon_sha256": "ac947044ce58a1d02919cecb592d086ab6960651b63194c6501ff45e71e31fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07883",
    "kind": "arxiv",
    "version": 4
  }
}