Pith Number

pith:3EEGROFA

pith:2013:3EEGROFAPBRSZNX2TO7BVQYUFI

not attested not anchored not stored refs pending

On a hybrid fourth moment involving the Riemann zeta-function

Aleksandar Ivi\'c, Wenguang Zhai

arxiv:1305.2685 v1 · 2013-05-13 · 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{3EEGROFAPBRSZNX2TO7BVQYUFI}

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	2026-05-18T03:25:57.144363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d90868b8a078632cb6fa9bbe1ac3142a228c63cb24f8ada8e1498673f0c5b369

Aliases

arxiv: 1305.2685 · arxiv_version: 1305.2685v1 · doi: 10.48550/arxiv.1305.2685 · pith_short_12: 3EEGROFAPBRS · pith_short_16: 3EEGROFAPBRSZNX2 · pith_short_8: 3EEGROFA

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/3EEGROFAPBRSZNX2TO7BVQYUFI \
  | 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: d90868b8a078632cb6fa9bbe1ac3142a228c63cb24f8ada8e1498673f0c5b369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce38aadef752f76e3d3b02d57bd2dd6820c6ec1db6d4560c078bd8c0ac68d7b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-13T07:03:29Z",
    "title_canon_sha256": "65578250dddaf131c808fd1d762e8d294f10cd2777fe04312239e2f10384bafe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2685",
    "kind": "arxiv",
    "version": 1
  }
}