Pith Number

pith:XRIANJXJ

pith:2012:XRIANJXJQFLB5JR3VOHHBPRP2Y

not attested not anchored not stored refs pending

Counting Berg partitions via Sturmian words and substitution tilings

Artur Siemaszko, Maciej P. Wojtkowski

arxiv:1212.1395 v1 · 2012-12-06 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRIANJXJQFLB5JR3VOHHBPRP2Y}

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	2026-05-18T03:39:04.073872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc5006a6e981561ea63bab8e70be2fd63c5d618977f0d8ed511cc66bb79e4e4e

Aliases

arxiv: 1212.1395 · arxiv_version: 1212.1395v1 · doi: 10.48550/arxiv.1212.1395 · pith_short_12: XRIANJXJQFLB · pith_short_16: XRIANJXJQFLB5JR3 · pith_short_8: XRIANJXJ

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/XRIANJXJQFLB5JR3VOHHBPRP2Y \
  | 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: bc5006a6e981561ea63bab8e70be2fd63c5d618977f0d8ed511cc66bb79e4e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d948e4e36ada88c206c421b97acaa19d56f5a6a7b25e378a0b732ce184e0e04e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-06T17:48:52Z",
    "title_canon_sha256": "d158eb2f57fe4cf817ecc653c7375dedee48b1881f98beb950a1199079ca2f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1395",
    "kind": "arxiv",
    "version": 1
  }
}