Pith Number

pith:IPGCEZGX

pith:2015:IPGCEZGXHMC7KCWL2S5QLNLI73

not attested not anchored not stored refs pending

Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks

Laurent Miclo (IMT), Persi Diaconis

arxiv:1505.07711 v1 · 2015-05-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPGCEZGXHMC7KCWL2S5QLNLI73}

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	2026-05-18T01:16:50.440293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43cc2264d73b05f50acbd4bb05b568fee459c283568f5e8b004ec73e5d5c6972

Aliases

arxiv: 1505.07711 · arxiv_version: 1505.07711v1 · doi: 10.48550/arxiv.1505.07711 · pith_short_12: IPGCEZGXHMC7 · pith_short_16: IPGCEZGXHMC7KCWL · pith_short_8: IPGCEZGX

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/IPGCEZGXHMC7KCWL2S5QLNLI73 \
  | 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: 43cc2264d73b05f50acbd4bb05b568fee459c283568f5e8b004ec73e5d5c6972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d6f595eae11c35edf27628f987a252126e5da8029ef0dd06601f781b8cf3836",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-28T14:59:55Z",
    "title_canon_sha256": "53993585c6fe7c56b3804c83987ac7cb1bfabf840bec737190e66c9168c6bf19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07711",
    "kind": "arxiv",
    "version": 1
  }
}