Pith Number

pith:ASDXYDFT

pith:2016:ASDXYDFTEX4M6AKHHPIYKQE2GN

not attested not anchored not stored refs pending

The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line

Christian Webb, Eero Saksman

arxiv:1609.00027 v3 · 2016-08-31 · math.PR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASDXYDFTEX4M6AKHHPIYKQE2GN}

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

High points of a random model of the Riemann-zeta function and Gaussian multiplicative chaos

Receipt and verification

First computed	2026-05-18T00:22:48.394493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04877c0cb325f8cf01473bd185409a336504f0146655a76f1726245cf8ba72a2

Aliases

arxiv: 1609.00027 · arxiv_version: 1609.00027v3 · doi: 10.48550/arxiv.1609.00027 · pith_short_12: ASDXYDFTEX4M · pith_short_16: ASDXYDFTEX4M6AKH · pith_short_8: ASDXYDFT

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/ASDXYDFTEX4M6AKHHPIYKQE2GN \
  | 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: 04877c0cb325f8cf01473bd185409a336504f0146655a76f1726245cf8ba72a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d21e9e5cad4964e606292b3dcdc888e02f4d0dbf9834d217b9186e779079cd58",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-31T20:12:20Z",
    "title_canon_sha256": "f88ea3dcfeb10ec498e512e2c7a056a5c53a8fd995312e4013d8c30670b4972a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00027",
    "kind": "arxiv",
    "version": 3
  }
}