Pith Number

pith:OBPEJ4G5

pith:2014:OBPEJ4G5MBDORVY6OGIORZMNMR

not attested not anchored not stored refs pending

Restricted ascent sequences and Catalan numbers

David Callan, Mark Shattuck, Toufik Mansour

arxiv:1403.6933 v1 · 2014-03-27 · 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{OBPEJ4G5MBDORVY6OGIORZMNMR}

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	2026-05-18T02:55:26.844655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

705e44f0dd6046e8d71e7190e8e58d6468f02da1447e3dba2e4431621b2bdb63

Aliases

arxiv: 1403.6933 · arxiv_version: 1403.6933v1 · doi: 10.48550/arxiv.1403.6933 · pith_short_12: OBPEJ4G5MBDO · pith_short_16: OBPEJ4G5MBDORVY6 · pith_short_8: OBPEJ4G5

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/OBPEJ4G5MBDORVY6OGIORZMNMR \
  | 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: 705e44f0dd6046e8d71e7190e8e58d6468f02da1447e3dba2e4431621b2bdb63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c11294e0fce223c2ca2dc4b4638d680cb99472ae6505f27bf7caaeca1fc65f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-27T07:33:56Z",
    "title_canon_sha256": "9583f66c23c9d6c9f5ec4d6d09bbd5cf3c7a1c9e84e1dd07ce6c22c0a5395a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6933",
    "kind": "arxiv",
    "version": 1
  }
}