Pith Number

pith:3PJCN2FX

pith:2019:3PJCN2FX7IW4MUHV4IJA3YBAJI

not attested not anchored not stored refs pending

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

Lisa Hartung, Louis-Pierre Arguin, Nicola Kistler

arxiv:1906.08573 v2 · 2019-06-20 · 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{3PJCN2FX7IW4MUHV4IJA3YBAJI}

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	2026-05-17T23:42:47.943954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd226e8b7fa2dc650f5e2120de0204a00b886739f74e268386a8f21715eafa5

Aliases

arxiv: 1906.08573 · arxiv_version: 1906.08573v2 · doi: 10.48550/arxiv.1906.08573 · pith_short_12: 3PJCN2FX7IW4 · pith_short_16: 3PJCN2FX7IW4MUHV · pith_short_8: 3PJCN2FX

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/3PJCN2FX7IW4MUHV4IJA3YBAJI \
  | 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: dbd226e8b7fa2dc650f5e2120de0204a00b886739f74e268386a8f21715eafa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82064601a3003a08d22bed1bc26f33216f23d1a77178fbadf50d258348966a11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-20T12:20:24Z",
    "title_canon_sha256": "9207a2e08349cb6b302f581e1fb021e8da4cd89c4e24bc6b2e9c92e58cc4586f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08573",
    "kind": "arxiv",
    "version": 2
  }
}