Pith Number

pith:4RQLADGX

pith:2015:4RQLADGX5VFV7DSALBA6VLMVML

not attested not anchored not stored refs pending

Hyperbolic Pascal triangles

Hacene Belbachir, L\'aszl\'o N\'emeth, L\'aszl\'o Szalay

arxiv:1503.02569 v1 · 2015-03-05 · math.HO · 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{4RQLADGX5VFV7DSALBA6VLMVML}

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	2026-05-18T00:27:30.763833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e460b00cd7ed4b5f8e405841eaad9562c5cb445e5f2d8a3fd4f653dcd4e395b4

Aliases

arxiv: 1503.02569 · arxiv_version: 1503.02569v1 · doi: 10.48550/arxiv.1503.02569 · pith_short_12: 4RQLADGX5VFV · pith_short_16: 4RQLADGX5VFV7DSA · pith_short_8: 4RQLADGX

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/4RQLADGX5VFV7DSALBA6VLMVML \
  | 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: e460b00cd7ed4b5f8e405841eaad9562c5cb445e5f2d8a3fd4f653dcd4e395b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2679f064a787df719c949f109d9b8fd232247f294c78842e75c2a5a12ecadf22",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2015-03-05T09:00:18Z",
    "title_canon_sha256": "c999ada94f2e7fa6f64c64814967f1070d1cb53b20c42b88319aa3dc51a9b893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02569",
    "kind": "arxiv",
    "version": 1
  }
}