Pith Number

pith:QGG4OE26

pith:2016:QGG4OE26Y4GNELLGDHXTQACWKW

not attested not anchored not stored refs pending

Generalization of the Wiener-Ikehara theorem

Gregory Debruyne, Jasson Vindas

arxiv:1611.09765 v2 · 2016-11-29 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGG4OE26Y4GNELLGDHXTQACWKW}

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	2026-05-18T00:36:51.420979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818dc7135ec70cd22d6619ef380056558a986fa06702c435d81e2c82cfcf3750

Aliases

arxiv: 1611.09765 · arxiv_version: 1611.09765v2 · doi: 10.48550/arxiv.1611.09765 · pith_short_12: QGG4OE26Y4GN · pith_short_16: QGG4OE26Y4GNELLG · pith_short_8: QGG4OE26

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/QGG4OE26Y4GNELLGDHXTQACWKW \
  | 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: 818dc7135ec70cd22d6619ef380056558a986fa06702c435d81e2c82cfcf3750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435ba61161234014557402b7216c635ef64b99d66e533c67c2260fbd399acb89",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-29T18:19:08Z",
    "title_canon_sha256": "f5559fc4104fcc2bb10c9cd8452f8e999b4dfa6dd5cb1c04ed4d261edf073568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09765",
    "kind": "arxiv",
    "version": 2
  }
}