Pith Number

pith:TRIPP25U

pith:2011:TRIPP25UVWCR6OADWCQ6PETD4M

not attested not anchored not stored refs pending

The fractal dimension of the Riemann zeta zeros

Jingbo Wang

arxiv:1102.3764 v1 · 2011-02-18 · 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{TRIPP25UVWCR6OADWCQ6PETD4M}

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	2026-05-18T04:28:21.021608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c50f7ebb4ad851f3803b0a1e79263e3144474d54cca2f011a43f40847ad203c

Aliases

arxiv: 1102.3764 · arxiv_version: 1102.3764v1 · doi: 10.48550/arxiv.1102.3764 · pith_short_12: TRIPP25UVWCR · pith_short_16: TRIPP25UVWCR6OAD · pith_short_8: TRIPP25U

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/TRIPP25UVWCR6OADWCQ6PETD4M \
  | 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: 9c50f7ebb4ad851f3803b0a1e79263e3144474d54cca2f011a43f40847ad203c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02dab627ffd2270ab1d9da10f80b8779aa2366bfcbfbd39647c707078e382b68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-18T07:06:43Z",
    "title_canon_sha256": "34316b9324746b0e7e6e054f704f88bde07a7889eb63bcf66e604fd87380726e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3764",
    "kind": "arxiv",
    "version": 1
  }
}