Pith Number

pith:QUOH4MGW

pith:2007:QUOH4MGWUQXDFQCHI7ABRWLHTL

not attested not anchored not stored refs pending

Sampling the Lindel\"of Hypothesis with the Cauchy Random Walk

Michel Weber, Mikhail Lifshits

arxiv:math/0703693 v2 · 2007-03-23 · math.PR · math.CV · 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{QUOH4MGWUQXDFQCHI7ABRWLHTL}

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	2026-05-18T02:57:45.184922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851c7e30d6a42e32c04747c018d9679afab2ac7fff1f8314a73e715b4924ff92

Aliases

arxiv: math/0703693 · arxiv_version: math/0703693v2 · doi: 10.48550/arxiv.math/0703693 · pith_short_12: QUOH4MGWUQXD · pith_short_16: QUOH4MGWUQXDFQCH · pith_short_8: QUOH4MGW

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/QUOH4MGWUQXDFQCHI7ABRWLHTL \
  | 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: 851c7e30d6a42e32c04747c018d9679afab2ac7fff1f8314a73e715b4924ff92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c4ffae8955d4264e5d5e5fd14d3ed7ecb7b98fa7c4315a1b5cdac82f58a0a7",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-03-23T10:31:31Z",
    "title_canon_sha256": "2fb91809465ab7f2bd6364563086c50114bb72ad9496e761fbf6b9521d4a6669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703693",
    "kind": "arxiv",
    "version": 2
  }
}