Pith Number

pith:6DPN2MQV

pith:2018:6DPN2MQVOZTLYWUVUKNBGB5CKO

not attested not anchored not stored refs pending

Kazhdan constants, continuous probability measures with large Fourier coefficients and rigidity sequences

Catalin Badea, Sophie Grivaux

arxiv:1804.01369 v2 · 2018-04-04 · math.DS · math.CA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DPN2MQVOZTLYWUVUKNBGB5CKO}

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	2026-05-18T00:04:39.492552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0dedd32157666bc5a95a29a1307a25382375ccfa0605021387a1f487e8b4955

Aliases

arxiv: 1804.01369 · arxiv_version: 1804.01369v2 · doi: 10.48550/arxiv.1804.01369 · pith_short_12: 6DPN2MQVOZTL · pith_short_16: 6DPN2MQVOZTLYWUV · pith_short_8: 6DPN2MQV

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/6DPN2MQVOZTLYWUVUKNBGB5CKO \
  | 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: f0dedd32157666bc5a95a29a1307a25382375ccfa0605021387a1f487e8b4955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "074a13bfe8175a7fb885b3344ad863a0d6ed2924b0e7ddacb277fcf9fbb1d2c2",
    "cross_cats_sorted": [
      "math.CA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-04T12:40:16Z",
    "title_canon_sha256": "e80b6d2a0ecbdbf00983f2197b3be9391b4d01763ba4812c4b4542672a5a1010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01369",
    "kind": "arxiv",
    "version": 2
  }
}