Pith Number

pith:2TAW33J5

pith:2016:2TAW33J5HNSPX3Z3OQ3CVXDIBO

not attested not anchored not stored refs pending

Hyperuniformity of Quasicrystals

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

arxiv:1612.01975 v2 · 2016-12-06 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TAW33J5HNSPX3Z3OQ3CVXDIBO}

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	2026-05-18T00:49:50.947806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c16ded3d3b64fbef3b74362adc680b9a14d536677d0e23ba7edf687a04652b

Aliases

arxiv: 1612.01975 · arxiv_version: 1612.01975v2 · doi: 10.48550/arxiv.1612.01975 · pith_short_12: 2TAW33J5HNSP · pith_short_16: 2TAW33J5HNSPX3Z3 · pith_short_8: 2TAW33J5

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/2TAW33J5HNSPX3Z3OQ3CVXDIBO \
  | 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: d4c16ded3d3b64fbef3b74362adc680b9a14d536677d0e23ba7edf687a04652b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee3b06f72996f0328b61e95d481055c45ae4726f40b07c77c1607bb267fe227",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-12-06T20:09:03Z",
    "title_canon_sha256": "81be3cdf2bd2f17ecd212d0838923506d0107d96e497f4a5d87a4ceb24b8477b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01975",
    "kind": "arxiv",
    "version": 2
  }
}