Pith Number

pith:6FZCMMRX

pith:2018:6FZCMMRXY3M2W3Z6OBEG2BYCWH

not attested not anchored not stored refs pending

Signature Catalan Combinatorics

Cesar Ceballos, Rafael S. Gonz\'alez D'Le\'on

arxiv:1805.03863 v1 · 2018-05-10 · 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{6FZCMMRXY3M2W3Z6OBEG2BYCWH}

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	2026-05-18T00:16:16.556644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f172263237c6d9ab6f3e70486d0702b1fefa5b026edd6cb001e81f2ee997b28b

Aliases

arxiv: 1805.03863 · arxiv_version: 1805.03863v1 · doi: 10.48550/arxiv.1805.03863 · pith_short_12: 6FZCMMRXY3M2 · pith_short_16: 6FZCMMRXY3M2W3Z6 · pith_short_8: 6FZCMMRX

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/6FZCMMRXY3M2W3Z6OBEG2BYCWH \
  | 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: f172263237c6d9ab6f3e70486d0702b1fefa5b026edd6cb001e81f2ee997b28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04b0940d15f02f718e114453536484b9c2cee0c20bae0ca1f0cc85fd5ca1e1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-10T07:35:46Z",
    "title_canon_sha256": "4f94ac480c40dbaebaacca55350f5e6c5aee3fc8684e2ce9e9195042baef0326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03863",
    "kind": "arxiv",
    "version": 1
  }
}