Pith Number

pith:PCONJCWM

pith:2024:PCONJCWMLBU2OWKYMWN4CI7WJE

not attested not anchored not stored refs pending

Spectral non-concentration near the top for unimodular random graphs

Ben Hayes, Madhu Sudan, Mikolaj Fraczyk, Yufei Zhao

arxiv:2401.07165 v1 · 2024-01-13 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCONJCWMLBU2OWKYMWN4CI7WJE}

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.

Cited by

1 paper in Pith

The curious spectra and dynamics of non-locally finite crystals

Receipt and verification

First computed	2026-07-05T07:33:32.982774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789cd48acc5869a75958659bc123f64903d5a0155738612e834eafbf64f26caf

Aliases

arxiv: 2401.07165 · arxiv_version: 2401.07165v1 · doi: 10.48550/arxiv.2401.07165 · pith_short_12: PCONJCWMLBU2 · pith_short_16: PCONJCWMLBU2OWKY · pith_short_8: PCONJCWM

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/PCONJCWMLBU2OWKYMWN4CI7WJE \
  | 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: 789cd48acc5869a75958659bc123f64903d5a0155738612e834eafbf64f26caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205a070ce5f32c75f6b32906dc848d6e3786ae1e4024932a1c793b0999ef68c4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-01-13T22:03:53Z",
    "title_canon_sha256": "82ca662312c6877d21097fbecbed397d2ca2ed1660557ac30ad16c8e99409d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.07165",
    "kind": "arxiv",
    "version": 1
  }
}