Pith Number

pith:5GLPHR5J

pith:2013:5GLPHR5JIWALVIQEZJ76PBZNCR

not attested not anchored not stored refs pending

Resonant Interactions Along the Critical Line of the Riemann Zeta Function

Ronald Fisch

arxiv:1309.4793 v2 · 2013-09-18 · 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{5GLPHR5JIWALVIQEZJ76PBZNCR}

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	2026-05-18T03:07:33.799554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e996f3c7a94580baa204ca7fe7872d144112edc6cab609ce09402bdf2254f804

Aliases

arxiv: 1309.4793 · arxiv_version: 1309.4793v2 · doi: 10.48550/arxiv.1309.4793 · pith_short_12: 5GLPHR5JIWAL · pith_short_16: 5GLPHR5JIWALVIQE · pith_short_8: 5GLPHR5J

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/5GLPHR5JIWALVIQEZJ76PBZNCR \
  | 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: e996f3c7a94580baa204ca7fe7872d144112edc6cab609ce09402bdf2254f804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3ca1a7bb0da18c36490cb503c4edb10cc529cf2ceae83b33086a4ff124baf3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-18T20:36:34Z",
    "title_canon_sha256": "c72f709b64c4cd8f51f2acfd9c25e1ce3ad64d76b59d3c6832486bdbe26fa955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4793",
    "kind": "arxiv",
    "version": 2
  }
}