Pith Number

pith:KHEIWGFD

pith:2010:KHEIWGFDGG76DPINYGW5RWL2EI

not attested not anchored not stored refs pending

Sufficient and equivalent criteria for the Riemann Hypothesis

Davide Schipani

arxiv:1003.2064 v4 · 2010-03-10 · 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{KHEIWGFDGG76DPINYGW5RWL2EI}

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	2026-05-18T04:14:29.627214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c88b18a331bfe1bd0dc1add8d97a222459b08b5e630e4460126221aa87ccd4

Aliases

arxiv: 1003.2064 · arxiv_version: 1003.2064v4 · doi: 10.48550/arxiv.1003.2064 · pith_short_12: KHEIWGFDGG76 · pith_short_16: KHEIWGFDGG76DPIN · pith_short_8: KHEIWGFD

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/KHEIWGFDGG76DPINYGW5RWL2EI \
  | 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: 51c88b18a331bfe1bd0dc1add8d97a222459b08b5e630e4460126221aa87ccd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2006ed8537d15d23ad8d59f07fc534b37a7024ef38321d2ec5623b728e121b15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-10T10:04:55Z",
    "title_canon_sha256": "39f84a05d290c76465e2206cc28ef7779d8c5e3b9272ed75329c5ce70061dd9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2064",
    "kind": "arxiv",
    "version": 4
  }
}