Pith Number

pith:MKKP3NDW

pith:2016:MKKP3NDWD2UV4BMFBECUWNOILU

not attested not anchored not stored refs pending

On Enumeration of Dyck--Schr\"oder Paths

Max A. Alekseyev

arxiv:1601.06158 v2 · 2016-01-22 · 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{MKKP3NDWD2UV4BMFBECUWNOILU}

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	2026-05-17T23:54:07.758382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6294fdb4761ea95e058509054b35c85d3b3f4bc2a4a07e872695c1c3ee4b2185

Aliases

arxiv: 1601.06158 · arxiv_version: 1601.06158v2 · doi: 10.48550/arxiv.1601.06158 · pith_short_12: MKKP3NDWD2UV · pith_short_16: MKKP3NDWD2UV4BMF · pith_short_8: MKKP3NDW

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/MKKP3NDWD2UV4BMFBECUWNOILU \
  | 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: 6294fdb4761ea95e058509054b35c85d3b3f4bc2a4a07e872695c1c3ee4b2185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b61ba5e223eb0154d481611a7cf8d57a040cda5cafe526b5f7342d3b6357c634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-22T05:54:33Z",
    "title_canon_sha256": "0d3f2333d94541934ff8bdc25ac0980472e1aa594d372257ae49a4d94d5fe4dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06158",
    "kind": "arxiv",
    "version": 2
  }
}