Pith Number

pith:4MX24PDL

pith:2018:4MX24PDLSERSWNKQSLK3CH2V6Y

not attested not anchored not stored refs pending

Hyperuniformity and anti-hyperuniformity in one-dimensional substitution tilings

Erdal C. O\u{g}uz, Joshua E. S. Socolar, Paul J. Steinhardt, Salvatore Torquato

arxiv:1806.10641 v1 · 2018-06-20 · cond-mat.stat-mech · cond-mat.mtrl-sci · math-ph · math.DS · 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{4MX24PDLSERSWNKQSLK3CH2V6Y}

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	2026-05-18T00:12:08.361081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32fae3c6b91232b355092d5b11f55f62dcd12527d89c4eac4dc5697837def81

Aliases

arxiv: 1806.10641 · arxiv_version: 1806.10641v1 · doi: 10.48550/arxiv.1806.10641 · pith_short_12: 4MX24PDLSERS · pith_short_16: 4MX24PDLSERSWNKQ · pith_short_8: 4MX24PDL

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/4MX24PDLSERSWNKQSLK3CH2V6Y \
  | 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: e32fae3c6b91232b355092d5b11f55f62dcd12527d89c4eac4dc5697837def81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f66ece87a12ea20c9cb7444702b7d9b7aaa7c67f50db95e7653ddaffac88d9",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-06-20T20:56:52Z",
    "title_canon_sha256": "75738d1448949506d61ba173e95802e262c1dc762ecccd633ae8bc7f4d01f603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10641",
    "kind": "arxiv",
    "version": 1
  }
}