Pith Number

pith:NV3XTJKV

pith:2018:NV3XTJKVDC32N2LEMKUBM5XMSI

not attested not anchored not stored refs pending

A Universal Bijection for Catalan Structures

Richard Brak

arxiv:1808.09078 v2 · 2018-08-28 · 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{NV3XTJKVDC32N2LEMKUBM5XMSI}

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	2026-05-17T23:45:04.533877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d7779a55518b7a6e96462a81676ec92300447f44f512c39d193540404d29526

Aliases

arxiv: 1808.09078 · arxiv_version: 1808.09078v2 · doi: 10.48550/arxiv.1808.09078 · pith_short_12: NV3XTJKVDC32 · pith_short_16: NV3XTJKVDC32N2LE · pith_short_8: NV3XTJKV

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/NV3XTJKVDC32N2LEMKUBM5XMSI \
  | 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: 6d7779a55518b7a6e96462a81676ec92300447f44f512c39d193540404d29526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72903111c9569f93907c7d52657c6607e852688007b742f5c28cd17fd1c0eb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-28T01:07:03Z",
    "title_canon_sha256": "1d7de33d23ec57ff2168a468d6d5d667c030be813ab0d07fa796153cbb684153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09078",
    "kind": "arxiv",
    "version": 2
  }
}