Pith Number

pith:VM3USLSE

pith:2018:VM3USLSEYJ3636N66MSYRI3H65

not attested not anchored not stored refs pending

On factor-free Dyck words with half-integer slope

Daniel Birmajer, Juan B. Gil, Michael D. Weiner

arxiv:1804.11244 v1 · 2018-04-30 · 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{VM3USLSEYJ3636N66MSYRI3H65}

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	2026-05-18T00:12:31.768278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab37492e44c277edf9bef32588a367f76abade1881e7071d08d7a103b37e8abd

Aliases

arxiv: 1804.11244 · arxiv_version: 1804.11244v1 · doi: 10.48550/arxiv.1804.11244 · pith_short_12: VM3USLSEYJ36 · pith_short_16: VM3USLSEYJ3636N6 · pith_short_8: VM3USLSE

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/VM3USLSEYJ3636N66MSYRI3H65 \
  | 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: ab37492e44c277edf9bef32588a367f76abade1881e7071d08d7a103b37e8abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e21866980dfa327ec5cbb05fc1447669be52ae0f8c29f2444dcaf64577311af1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-30T14:51:00Z",
    "title_canon_sha256": "13c49483003122bd28305365fd836ef7fa0ab4dfa3490a56dce0be1a5531a7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.11244",
    "kind": "arxiv",
    "version": 1
  }
}