Pith Number

pith:T3QIFOC4

pith:2016:T3QIFOC4HGJ7PDJTW7FTTLBUJ5

not attested not anchored not stored refs pending

The Weyl-Heisenberg ensemble: hyperuniformity and higher Landau levels

Jo\~ao M. Pereira, Jos\'e Luis Romero, Lu\'is Daniel Abreu, Salvatore Torquato

arxiv:1612.00359 v3 · 2016-12-01 · cond-mat.stat-mech · math-ph · 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{T3QIFOC4HGJ7PDJTW7FTTLBUJ5}

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	2026-05-18T00:42:07.370520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee082b85c3993f78d33b7cb39ac344f631732bb56ebf7fb98ec1f0151b05681

Aliases

arxiv: 1612.00359 · arxiv_version: 1612.00359v3 · doi: 10.48550/arxiv.1612.00359 · pith_short_12: T3QIFOC4HGJ7 · pith_short_16: T3QIFOC4HGJ7PDJT · pith_short_8: T3QIFOC4

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/T3QIFOC4HGJ7PDJTW7FTTLBUJ5 \
  | 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: 9ee082b85c3993f78d33b7cb39ac344f631732bb56ebf7fb98ec1f0151b05681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa69712be4344c2b1903072b8194517ec483e309c402e784b7c09d357452fe23",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-12-01T17:37:47Z",
    "title_canon_sha256": "767d663a38703858e487671d5b3c1bfa0085b49101167e41fbde5576b3ebb88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00359",
    "kind": "arxiv",
    "version": 3
  }
}