Pith Number

pith:U7P3FTWZ

pith:2013:U7P3FTWZY76ZPDUZCRAROTWHIP

not attested not anchored not stored refs pending

The Dyck pattern poset

Antonio Bernini, Julian West, Luca Ferrari, Renzo Pinzani

arxiv:1303.3785 v1 · 2013-03-15 · 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{U7P3FTWZY76ZPDUZCRAROTWHIP}

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	2026-05-18T03:30:52.438381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7dfb2ced9c7fd978e991441174ec743c963c90396b6d9e74b8ab1c11dc5fd52

Aliases

arxiv: 1303.3785 · arxiv_version: 1303.3785v1 · doi: 10.48550/arxiv.1303.3785 · pith_short_12: U7P3FTWZY76Z · pith_short_16: U7P3FTWZY76ZPDUZ · pith_short_8: U7P3FTWZ

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/U7P3FTWZY76ZPDUZCRAROTWHIP \
  | 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: a7dfb2ced9c7fd978e991441174ec743c963c90396b6d9e74b8ab1c11dc5fd52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5586770cbc3730ca249b290a6410766a44d1e38484825b2345cb150d79d0022c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-15T14:34:37Z",
    "title_canon_sha256": "157b95b497c1cd869c5f86e8cd7ae81110dbe0db9ab68bf59f55c60255b76dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3785",
    "kind": "arxiv",
    "version": 1
  }
}