Pith Number

pith:O5YVDXTG

pith:2012:O5YVDXTGY7DOXOOWSP3C6TC47Q

not attested not anchored not stored refs pending

On the notions of symmetry and aperiodicity for Delone sets

Michael Baake (Bielefeld), Uwe Grimm (Milton Keynes)

arxiv:1210.0157 v1 · 2012-09-29 · math.MG · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5YVDXTGY7DOXOOWSP3C6TC47Q}

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	2026-05-18T03:43:20.179752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777151de66c7c6ebb9d693f62f4c5cfc0ed2259d7fa10960cfe537ef0d0f592f

Aliases

arxiv: 1210.0157 · arxiv_version: 1210.0157v1 · doi: 10.48550/arxiv.1210.0157 · pith_short_12: O5YVDXTGY7DO · pith_short_16: O5YVDXTGY7DOXOOW · pith_short_8: O5YVDXTG

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/O5YVDXTGY7DOXOOWSP3C6TC47Q \
  | 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: 777151de66c7c6ebb9d693f62f4c5cfc0ed2259d7fa10960cfe537ef0d0f592f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bac261947fc3db162dcd4932035b6cd6b25f8052c5433a28970976d54db7e2f",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-29T22:15:55Z",
    "title_canon_sha256": "400088e0800580402b891d51db484c1c50ed44651f5dce951da2c9c36bf50905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0157",
    "kind": "arxiv",
    "version": 1
  }
}