Pith Number

pith:5J3TVBSL

pith:2013:5J3TVBSLX53WW5GBSIJ4MSOTOG

not attested not anchored not stored refs pending

A Heyting Algebra on Dyck Paths of Type $A$ and $B$

Henri M\"uhle

arxiv:1312.0551 v3 · 2013-12-02 · 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{5J3TVBSLX53WW5GBSIJ4MSOTOG}

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	2026-05-18T00:38:36.857782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea773a864bbf776b74c19213c649d3718223f38c8b9275f4dbd2eb61d971230a

Aliases

arxiv: 1312.0551 · arxiv_version: 1312.0551v3 · doi: 10.48550/arxiv.1312.0551 · pith_short_12: 5J3TVBSLX53W · pith_short_16: 5J3TVBSLX53WW5GB · pith_short_8: 5J3TVBSL

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/5J3TVBSLX53WW5GBSIJ4MSOTOG \
  | 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: ea773a864bbf776b74c19213c649d3718223f38c8b9275f4dbd2eb61d971230a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834b8e5a3a26061c0b9245cddd3c292a360edb7f65ecfe277447425ce694ff8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-02T19:16:00Z",
    "title_canon_sha256": "5834759d26a173eacd64e2e09e61e07e19379f07773a953f55c189bda29ea609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0551",
    "kind": "arxiv",
    "version": 3
  }
}