Pith Number

pith:YIXCD23K

pith:2010:YIXCD23KHWGG2JJIM7OY4SXG5E

not attested not anchored not stored refs pending

A few equalities involving integrals of the logarithm of the Riemann zeta-function and equivalent to the Riemann hypothesis III. Exponential weight functions

Danilo Merlini, Sergey K. Sekatskii, Stefano Beltraminelli

arxiv:1006.0323 v2 · 2010-06-02 · 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{YIXCD23KHWGG2JJIM7OY4SXG5E}

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	2026-05-18T03:50:09.373567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22e21eb6a3d8c6d252867dd8e4ae6e924a07c1647ad1cc5ac8fe9dc89429f3d

Aliases

arxiv: 1006.0323 · arxiv_version: 1006.0323v2 · doi: 10.48550/arxiv.1006.0323 · pith_short_12: YIXCD23KHWGG · pith_short_16: YIXCD23KHWGG2JJI · pith_short_8: YIXCD23K

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/YIXCD23KHWGG2JJIM7OY4SXG5E \
  | 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: c22e21eb6a3d8c6d252867dd8e4ae6e924a07c1647ad1cc5ac8fe9dc89429f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1618b3b9c378923f3abe4a1ce095b4eee1f67ae11af4f70ceaecb011072559c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-02T08:54:20Z",
    "title_canon_sha256": "9e812cbae2866702a35817051c731d44c33e2ea0b8484c0dcfe583544dee3451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0323",
    "kind": "arxiv",
    "version": 2
  }
}