Pith Number

pith:3VQPFEMO

pith:2010:3VQPFEMOXAD4IHKWO4GCRA6YMN

not attested not anchored not stored refs pending

Generalized Riemann hypotheses: sufficient and equivalent criteria

Davide Schipani

arxiv:1005.1609 v2 · 2010-05-10 · 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{3VQPFEMOXAD4IHKWO4GCRA6YMN}

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	2026-05-18T04:38:58.116881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd60f2918eb807c41d56770c2883d8637b9835a2b0da34430445bd76748fdbbf

Aliases

arxiv: 1005.1609 · arxiv_version: 1005.1609v2 · doi: 10.48550/arxiv.1005.1609 · pith_short_12: 3VQPFEMOXAD4 · pith_short_16: 3VQPFEMOXAD4IHKW · pith_short_8: 3VQPFEMO

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/3VQPFEMOXAD4IHKWO4GCRA6YMN \
  | 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: dd60f2918eb807c41d56770c2883d8637b9835a2b0da34430445bd76748fdbbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a62a2a1c9d5b8fad91386402e47c7ecf6e145daa55bab4e14a263973af5741d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-10T17:14:11Z",
    "title_canon_sha256": "5232879f24791878eef5f060f3a752eaa7e82f8041598e85bd4b7f84d126d2c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1609",
    "kind": "arxiv",
    "version": 2
  }
}