Pith Number

pith:F5BS4EID

pith:2016:F5BS4EIDHSTVX4PAZQHQ6YEOPP

not attested not anchored not stored refs pending

A minimum-change version of the Chung-Feller theorem for Dyck paths

Christoph Standke, Torsten M\"utze, Veit Wiechert

arxiv:1603.02525 v2 · 2016-03-08 · math.CO · cs.DM · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5BS4EIDHSTVX4PAZQHQ6YEOPP}

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	2026-05-18T00:23:17.303181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f432e11033ca75bf1e0cc0f0f608e7bdd824dfd895c13d79913604e8a6d06a7

Aliases

arxiv: 1603.02525 · arxiv_version: 1603.02525v2 · doi: 10.48550/arxiv.1603.02525 · pith_short_12: F5BS4EIDHSTV · pith_short_16: F5BS4EIDHSTVX4PA · pith_short_8: F5BS4EID

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/F5BS4EIDHSTVX4PAZQHQ6YEOPP \
  | 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: 2f432e11033ca75bf1e0cc0f0f608e7bdd824dfd895c13d79913604e8a6d06a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1efcf09f4ee99e3fdb64c5594c269bc351c8bfe85f63da432c2f3b4b9bedb8b",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-08T14:11:54Z",
    "title_canon_sha256": "58c9036bf5108e1020a3b8dae8247133734f3ea27b6c734445cbaaa331148e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02525",
    "kind": "arxiv",
    "version": 2
  }
}