Pith Number

pith:W2SUUJXO

pith:2013:W2SUUJXOSMPLEVN5M5NWS4BBIL

not attested not anchored not stored refs pending

Generalized Dyck paths of bounded height

Axel Bacher

arxiv:1303.2724 v1 · 2013-03-11 · 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{W2SUUJXOSMPLEVN5M5NWS4BBIL}

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	2026-05-18T03:31:08.273921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6a54a26ee931eb255bd675b69702142f50e0b9cc400affb0f80303120e9ba55

Aliases

arxiv: 1303.2724 · arxiv_version: 1303.2724v1 · doi: 10.48550/arxiv.1303.2724 · pith_short_12: W2SUUJXOSMPL · pith_short_16: W2SUUJXOSMPLEVN5 · pith_short_8: W2SUUJXO

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/W2SUUJXOSMPLEVN5M5NWS4BBIL \
  | 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: b6a54a26ee931eb255bd675b69702142f50e0b9cc400affb0f80303120e9ba55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e33c607620e100750e647910f68f8ca41cb4d3fc7353ce31d3f07a99096f99b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-11T23:53:11Z",
    "title_canon_sha256": "c5502dd020185b8d6dd0184b49e370566867713cc5ff6fe1e6cb444dd1c942e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2724",
    "kind": "arxiv",
    "version": 1
  }
}