Pith Number

pith:6TBGDE7K

pith:2016:6TBGDE7KC2K2DJNA5NZYMBTJFG

not attested not anchored not stored refs pending

Context-free grammars for several polynomials associated with Eulerian polynomials

Bao-Xuan Zhu, Jun Ma, Shi-Mei Ma, Yeong-Nan Yeh

arxiv:1609.05829 v1 · 2016-09-19 · 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{6TBGDE7KC2K2DJNA5NZYMBTJFG}

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	2026-05-18T01:04:25.158752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c26193ea1695a1a5a0eb73860669298831f4690c798365e082d025703cf3e0

Aliases

arxiv: 1609.05829 · arxiv_version: 1609.05829v1 · doi: 10.48550/arxiv.1609.05829 · pith_short_12: 6TBGDE7KC2K2 · pith_short_16: 6TBGDE7KC2K2DJNA · pith_short_8: 6TBGDE7K

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/6TBGDE7KC2K2DJNA5NZYMBTJFG \
  | 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: f4c26193ea1695a1a5a0eb73860669298831f4690c798365e082d025703cf3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7a2fd326ddf9e5ca5d2a77367ca7da60ad0c0ea9a29d93dd53e75c17f38102f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-19T17:09:08Z",
    "title_canon_sha256": "0ac11284e33b30af6eddc283e2ef8d4d5a086be80ebde0877affeb831db6baa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05829",
    "kind": "arxiv",
    "version": 1
  }
}