Pith Number

pith:V6F2A53A

pith:2009:V6F2A53AHZVJ37VLX5KCF5TBY6

not attested not anchored not stored refs pending

Bounding |\zeta(1/2 + it)| on the Riemann hypothesis

Kannan Soundararajan, Vorrapan Chandee

arxiv:0908.2008 v1 · 2009-08-14 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6F2A53AHZVJ37VLX5KCF5TBY6}

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	2026-05-18T02:58:02.891731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af8ba077603e6a9dfeabbf5422f661c7b4c90082b0ab7494a67f5b5f1c7c6b28

Aliases

arxiv: 0908.2008 · arxiv_version: 0908.2008v1 · doi: 10.48550/arxiv.0908.2008 · pith_short_12: V6F2A53AHZVJ · pith_short_16: V6F2A53AHZVJ37VL · pith_short_8: V6F2A53A

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/V6F2A53AHZVJ37VLX5KCF5TBY6 \
  | 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: af8ba077603e6a9dfeabbf5422f661c7b4c90082b0ab7494a67f5b5f1c7c6b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde6c3978d2de23f63e46d98c8a6f7578e6ee4a6f3e85e06e32234ec4df55c07",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-08-14T03:50:39Z",
    "title_canon_sha256": "f46c647c9c8f1234970b0a088cbe34980d80dbb708cbb6d365a08bd158cbd542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2008",
    "kind": "arxiv",
    "version": 1
  }
}