Pith Number

pith:Z4CG3TIR

pith:2014:Z4CG3TIRWAYDX35SH7OGQADUGM

not attested not anchored not stored refs pending

Catalan States of Lattice Crossing

Changsong Li, Jozef H. Przytycki, Mieczyslaw K. Dabkowski

arxiv:1409.4065 v1 · 2014-09-14 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4CG3TIRWAYDX35SH7OGQADUGM}

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	2026-05-18T02:42:53.129928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf046dcd11b0303befb23fdc680074333bb431bc1c2a80f3af250e19d2403505

Aliases

arxiv: 1409.4065 · arxiv_version: 1409.4065v1 · doi: 10.48550/arxiv.1409.4065 · pith_short_12: Z4CG3TIRWAYD · pith_short_16: Z4CG3TIRWAYDX35S · pith_short_8: Z4CG3TIR

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/Z4CG3TIRWAYDX35SH7OGQADUGM \
  | 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: cf046dcd11b0303befb23fdc680074333bb431bc1c2a80f3af250e19d2403505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ae80fe1380fb4a00f8fb82ee1d2bae60daf4452f3aa92048cf4e7119f2af09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-14T15:25:43Z",
    "title_canon_sha256": "9edbaa93a6293064efc68299c374e00d3d7f212e080ad64c03476b8122cda18f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4065",
    "kind": "arxiv",
    "version": 1
  }
}