Pith Number

pith:KXUXQKHE

pith:2010:KXUXQKHE33YGU2DHWEBL76ASLU

not attested not anchored not stored refs pending

Computing (or not) Quasi-Periodicity Functions of Tilings

Alexis Ballier (LIF), Emmanuel Jeandel (LIF)

arxiv:1012.1222 v1 · 2010-12-03 · nlin.CG · cs.LO · 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{KXUXQKHE33YGU2DHWEBL76ASLU}

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	2026-05-18T04:34:01.687817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e97828e4def06a6867b102bff8125d035faf48cbf971e66c44e4c75e2dad7d

Aliases

arxiv: 1012.1222 · arxiv_version: 1012.1222v1 · doi: 10.48550/arxiv.1012.1222 · pith_short_12: KXUXQKHE33YG · pith_short_16: KXUXQKHE33YGU2DH · pith_short_8: KXUXQKHE

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/KXUXQKHE33YGU2DHWEBL76ASLU \
  | 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: 55e97828e4def06a6867b102bff8125d035faf48cbf971e66c44e4c75e2dad7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be42b955c6cd3a4d5172b7f11060f9d1f7cac5c226f7b55793214c0b0fcdeaa1",
    "cross_cats_sorted": [
      "cs.LO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CG",
    "submitted_at": "2010-12-03T09:58:32Z",
    "title_canon_sha256": "005936d90fdd6315ac05248909f3c12704554fef10500c39ee2cda3191e328b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1222",
    "kind": "arxiv",
    "version": 1
  }
}