Pith Number

pith:QQO3EZH4

pith:2014:QQO3EZH4VALHAO5U3O4NFUCPB6

not attested not anchored not stored refs pending

Context-free Grammars for Permutations and Increasing Trees

Amy M. Fu, William Y.C. Chen

arxiv:1408.1859 v1 · 2014-08-08 · 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{QQO3EZH4VALHAO5U3O4NFUCPB6}

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	2026-05-18T02:45:38.960473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

841db264fca816703bb4dbb8d2d04f0f852a3563aa752a60723e5671da5fb19d

Aliases

arxiv: 1408.1859 · arxiv_version: 1408.1859v1 · doi: 10.48550/arxiv.1408.1859 · pith_short_12: QQO3EZH4VALH · pith_short_16: QQO3EZH4VALHAO5U · pith_short_8: QQO3EZH4

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/QQO3EZH4VALHAO5U3O4NFUCPB6 \
  | 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: 841db264fca816703bb4dbb8d2d04f0f852a3563aa752a60723e5671da5fb19d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29595e50fcb3ac0eb974d6cb82710044f561816ae6e6a46fdcac761ed3434d90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-08T14:06:58Z",
    "title_canon_sha256": "db5c185ad92664674f1e490290f06048f45ca985c0cfe4a30c0f7e417460f348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1859",
    "kind": "arxiv",
    "version": 1
  }
}