Pith Number

pith:CSNSHNQF

pith:2012:CSNSHNQFQNXBIMCXBSUUKFTLSE

not attested not anchored not stored refs pending

On an extension of Knuth's rotation correspondence to reduced planar trees

Dominique Manchon, Kurusch Ebrahimi-Fard

arxiv:1203.0425 v1 · 2012-03-02 · 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{CSNSHNQFQNXBIMCXBSUUKFTLSE}

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	2026-05-17T23:49:18.288117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149b23b605836e1430570ca945166b9127807d742fc95d2311ad758d908f6588

Aliases

arxiv: 1203.0425 · arxiv_version: 1203.0425v1 · doi: 10.48550/arxiv.1203.0425 · pith_short_12: CSNSHNQFQNXB · pith_short_16: CSNSHNQFQNXBIMCX · pith_short_8: CSNSHNQF

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/CSNSHNQFQNXBIMCXBSUUKFTLSE \
  | 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: 149b23b605836e1430570ca945166b9127807d742fc95d2311ad758d908f6588

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6887ab35bfd3d1e7deeda4d918d75613f6fa1d355d3799b3f0e993396f99e56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-02T11:27:50Z",
    "title_canon_sha256": "07db509f60277a01dc8d85b0fe76f0495e74a5b08c477d6295bd4949dc6a3eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0425",
    "kind": "arxiv",
    "version": 1
  }
}