Pith Number

pith:RL4FAHYO

pith:2017:RL4FAHYOV4FOZR2RNYLJRAAEJ2

not attested not anchored not stored refs pending

Fighting fish and two-stack sortable permutations

Wenjie Fang

arxiv:1711.05713 v2 · 2017-11-15 · 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{RL4FAHYOV4FOZR2RNYLJRAAEJ2}

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	2026-05-17T23:53:51.923083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8af8501f0eaf0aecc7516e169880044eba775cabb04caecf756d8765cefac649

Aliases

arxiv: 1711.05713 · arxiv_version: 1711.05713v2 · doi: 10.48550/arxiv.1711.05713 · pith_short_12: RL4FAHYOV4FO · pith_short_16: RL4FAHYOV4FOZR2R · pith_short_8: RL4FAHYO

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/RL4FAHYOV4FOZR2RNYLJRAAEJ2 \
  | 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: 8af8501f0eaf0aecc7516e169880044eba775cabb04caecf756d8765cefac649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b73da988e81ebf5dfb2279651c205f113254e2c6af748784a2d6a27cf12da80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-15T18:22:30Z",
    "title_canon_sha256": "c7edc9ce7ee913c2dee89f75f2b2fb635f4cb6e79702d69ccc81c3cc6b847383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05713",
    "kind": "arxiv",
    "version": 2
  }
}