Pith Number

pith:EPMIPQRC

pith:2022:EPMIPQRC6VAKOQLJ6UZZ3JR6U3

not attested not anchored not stored refs pending

Hardy-Littlewood-Riesz type equivalent criteria for the Generalized Riemann hypothesis

Bibekananda Maji, Meghali Garg

arxiv:2208.07596 v1 · 2022-08-16 · 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{EPMIPQRC6VAKOQLJ6UZZ3JR6U3}

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	2026-07-05T04:49:06.813441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d887c222f540a74169f5339da63ea6cf944a71c98d6dc5274b9ab53ce57770

Aliases

arxiv: 2208.07596 · arxiv_version: 2208.07596v1 · doi: 10.48550/arxiv.2208.07596 · pith_short_12: EPMIPQRC6VAK · pith_short_16: EPMIPQRC6VAKOQLJ · pith_short_8: EPMIPQRC

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/EPMIPQRC6VAKOQLJ6UZZ3JR6U3 \
  | 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: 23d887c222f540a74169f5339da63ea6cf944a71c98d6dc5274b9ab53ce57770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d62ec1baf6b5a5d21c6f22d2ed520052eb2df25db09f0455d710f15519719388",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-08-16T08:19:36Z",
    "title_canon_sha256": "84c8457c1f0d6b1f8a103f3518ed6c9d9e94daba7f49a715e686fd91c2feea02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.07596",
    "kind": "arxiv",
    "version": 1
  }
}