Pith Number

pith:UOCIMN5N

pith:2016:UOCIMN5NWNJ6Y54NELZU3R7QON

not attested not anchored not stored refs pending

Enumeration of colored Dyck paths via partial Bell polynomials

Daniel Birmajer, Juan B. Gil, Michael D. Weiner, Peter R.W. McNamara

arxiv:1602.03550 v1 · 2016-02-10 · 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{UOCIMN5NWNJ6Y54NELZU3R7QON}

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	2026-05-17T23:45:15.843432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3848637adb353ec778d22f34dc7f073569e0258f7d02a96bceeb6349ac1864c

Aliases

arxiv: 1602.03550 · arxiv_version: 1602.03550v1 · doi: 10.48550/arxiv.1602.03550 · pith_short_12: UOCIMN5NWNJ6 · pith_short_16: UOCIMN5NWNJ6Y54N · pith_short_8: UOCIMN5N

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/UOCIMN5NWNJ6Y54NELZU3R7QON \
  | 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: a3848637adb353ec778d22f34dc7f073569e0258f7d02a96bceeb6349ac1864c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0b6b2d4374295c920f5f13b05216e1e3698715952ee802a7245600ae0ea5c1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-10T22:01:58Z",
    "title_canon_sha256": "b50c51cca489aa94c739231f35f57c51a5b58de70e04e00d65da5b982286174f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03550",
    "kind": "arxiv",
    "version": 1
  }
}