Pith Number

pith:JN7CPAH2

pith:1999:JN7CPAH2YFKEV3IW4YPEXQJXQK

not attested not anchored not stored refs pending

Diffraction of random tilings: some rigorous results

Michael Baake, Moritz Hoeffe (Tuebingen)

arxiv:math-ph/9904005 v3 · 1999-04-07 · math-ph · cond-mat · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JN7CPAH2YFKEV3IW4YPEXQJXQK}

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	2026-05-18T01:38:30.610095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7e2780fac1544aed16e61e4bc13782a0b5b27e5e84232ca795194a1a29c036

Aliases

arxiv: math-ph/9904005 · arxiv_version: math-ph/9904005v3 · doi: 10.48550/arxiv.math-ph/9904005 · pith_short_12: JN7CPAH2YFKE · pith_short_16: JN7CPAH2YFKEV3IW · pith_short_8: JN7CPAH2

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/JN7CPAH2YFKEV3IW4YPEXQJXQK \
  | 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: 4b7e2780fac1544aed16e61e4bc13782a0b5b27e5e84232ca795194a1a29c036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2ce362ff4af9643c4cfa962826bda62054d06805773391f44703a9f61656963",
    "cross_cats_sorted": [
      "cond-mat",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-04-07T09:18:21Z",
    "title_canon_sha256": "2e191ff2c5b4178b670b5d25cac3c602e896b7ee06505b07bc4c06d383819ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9904005",
    "kind": "arxiv",
    "version": 3
  }
}