Pith Number

pith:YPHZXZLO

pith:2016:YPHZXZLOALB2CKHGBETSJ7RBPF

not attested not anchored not stored refs pending

Good variation theory: a tauberian approach to the Riemann Hypothesis

Benoit Cloitre

arxiv:1605.02727 v6 · 2016-05-09 · 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{YPHZXZLOALB2CKHGBETSJ7RBPF}

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	2026-05-18T01:04:49.852469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3cf9be56e02c3a128e6092724fe217969186fc36297fc7cc0576693357ec381

Aliases

arxiv: 1605.02727 · arxiv_version: 1605.02727v6 · doi: 10.48550/arxiv.1605.02727 · pith_short_12: YPHZXZLOALB2 · pith_short_16: YPHZXZLOALB2CKHG · pith_short_8: YPHZXZLO

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/YPHZXZLOALB2CKHGBETSJ7RBPF \
  | 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: c3cf9be56e02c3a128e6092724fe217969186fc36297fc7cc0576693357ec381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f3dc23fc498d5fde00361c4ecf9e4bc017c563778fdea6e7737eb16afc7a8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-09T20:07:53Z",
    "title_canon_sha256": "14d6b553840c770129f045eca5204e9a9ce95d99527bb8deb8b44b4faee27d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02727",
    "kind": "arxiv",
    "version": 6
  }
}