Pith Number

pith:I4ONL2H6

pith:2016:I4ONL2H64PWQ373EHBSJWWOXZ5

not attested not anchored not stored refs pending

Zeros of Lattice Sums: 1. Zeros off the Critical Line

Ross C. McPhedran

arxiv:1601.01724 v1 · 2016-01-07 · math-ph · math.MP · 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{I4ONL2H64PWQ373EHBSJWWOXZ5}

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	2026-05-18T01:23:11.476612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

471cd5e8fee3ed0dff6438649b59d7cf56c2686b36e0bc21b3bb12052bcc7ee3

Aliases

arxiv: 1601.01724 · arxiv_version: 1601.01724v1 · doi: 10.48550/arxiv.1601.01724 · pith_short_12: I4ONL2H64PWQ · pith_short_16: I4ONL2H64PWQ373E · pith_short_8: I4ONL2H6

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/I4ONL2H64PWQ373EHBSJWWOXZ5 \
  | 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: 471cd5e8fee3ed0dff6438649b59d7cf56c2686b36e0bc21b3bb12052bcc7ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a8912226d9091682848558befcccce25a9bb9c993e6bee114e52dc4e0a2a444",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-07T23:24:52Z",
    "title_canon_sha256": "799ea9c27aa665986ed5f02c668abb067ec02b7917855283c4e1c844b93efdc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01724",
    "kind": "arxiv",
    "version": 1
  }
}