Pith Number

pith:AM72IHUF

pith:2024:AM72IHUFETQMZKTH52RFHA6DLY

not attested not anchored not stored refs pending

The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line

I.S. Rezvyakova

arxiv:2411.18492 v1 · 2024-11-27 · 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{AM72IHUFETQMZKTH52RFHA6DLY}

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	2026-07-05T09:41:17.182023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

033fa41e8524e0ccaa67eea25383c35e022dc3e1ae815f507ec7937a3e6b4f59

Aliases

arxiv: 2411.18492 · arxiv_version: 2411.18492v1 · doi: 10.48550/arxiv.2411.18492 · pith_short_12: AM72IHUFETQM · pith_short_16: AM72IHUFETQMZKTH · pith_short_8: AM72IHUF

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/AM72IHUFETQMZKTH52RFHA6DLY \
  | 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: 033fa41e8524e0ccaa67eea25383c35e022dc3e1ae815f507ec7937a3e6b4f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f4b02b1fc5c93739c07b69e8d2e29272297a9aae314884e71921de50e70731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-27T16:36:31Z",
    "title_canon_sha256": "ae58bfd8d120107370b0b958437a3f41465df1fc417bebae7d7dfab1a585f6ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18492",
    "kind": "arxiv",
    "version": 1
  }
}