Pith Number

pith:TLCO6C52

pith:2016:TLCO6C527P76SICH22SYMCDJ6V

not attested not anchored not stored refs pending

Short note on the number of 1-ascents in dispersed dyck paths

Dirk Oliver Theis, Kairi Kangro, Mozhgan Pourmoradnasseri

arxiv:1603.01422 v1 · 2016-03-04 · 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{TLCO6C527P76SICH22SYMCDJ6V}

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	2026-05-18T01:19:36.063921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac4ef0bbafbffe92047d6a5860869f5410ecaba2839eb983cb2179ebd03c9cc

Aliases

arxiv: 1603.01422 · arxiv_version: 1603.01422v1 · doi: 10.48550/arxiv.1603.01422 · pith_short_12: TLCO6C527P76 · pith_short_16: TLCO6C527P76SICH · pith_short_8: TLCO6C52

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/TLCO6C527P76SICH22SYMCDJ6V \
  | 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: 9ac4ef0bbafbffe92047d6a5860869f5410ecaba2839eb983cb2179ebd03c9cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70cc27e92293a0b69361e5b86a3cd6f7da6f29a5afd501b671feb476888144f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-04T11:17:08Z",
    "title_canon_sha256": "04ac6d043716e053de7e137213d5120b6af9fc8a4d1c732f144b3830c5cb5548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01422",
    "kind": "arxiv",
    "version": 1
  }
}