Pith Number

pith:ZIPO6BAJ

pith:2014:ZIPO6BAJYB5MTWDFPNTBELDQO6

not attested not anchored not stored refs pending

Enumerations of humps and peaks in $(k,a)$-paths and $(n,m)$-Dyck paths via bijective proofs

Rosena R. X. Du, Xuezhi Sun, Yingying Nie

arxiv:1406.2449 v2 · 2014-06-10 · 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{ZIPO6BAJYB5MTWDFPNTBELDQO6}

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	2026-05-18T02:03:52.827572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1eef0409c07ac9d8657b66122c707785ec80a03223644e67c6debd95753fc2

Aliases

arxiv: 1406.2449 · arxiv_version: 1406.2449v2 · doi: 10.48550/arxiv.1406.2449 · pith_short_12: ZIPO6BAJYB5M · pith_short_16: ZIPO6BAJYB5MTWDF · pith_short_8: ZIPO6BAJ

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/ZIPO6BAJYB5MTWDFPNTBELDQO6 \
  | 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: ca1eef0409c07ac9d8657b66122c707785ec80a03223644e67c6debd95753fc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb0787104bb80dd5b2a3682e6d6b84f651f0317cddecdbba8f97f5a630d8e6ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-10T07:28:54Z",
    "title_canon_sha256": "2cea4ebf2e5878d5f62b3a2cc9305a124ec786d5eda0c4afb5f6b391c14faa48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2449",
    "kind": "arxiv",
    "version": 2
  }
}