Pith Number

pith:ZODZ5QVW

pith:2018:ZODZ5QVWD7YDHY5TGGBJE47OB7

not attested not anchored not stored refs pending

A computational history of prime numbers and Riemann zeros

Alisa Sedunova, Izabela Petrykiewicz, Pieter Moree

arxiv:1810.05244 v1 · 2018-10-11 · 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{ZODZ5QVWD7YDHY5TGGBJE47OB7}

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	2026-05-18T00:03:31.275431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb879ec2b61ff033e3b331829273ee0fe418a432eb14be2c595d5f0c250fa7b8

Aliases

arxiv: 1810.05244 · arxiv_version: 1810.05244v1 · doi: 10.48550/arxiv.1810.05244 · pith_short_12: ZODZ5QVWD7YD · pith_short_16: ZODZ5QVWD7YDHY5T · pith_short_8: ZODZ5QVW

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/ZODZ5QVWD7YDHY5TGGBJE47OB7 \
  | 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: cb879ec2b61ff033e3b331829273ee0fe418a432eb14be2c595d5f0c250fa7b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd407c6e9a3a423256e1a68aa9842700861cb33c90a7ccf424558d394c1baae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-11T21:00:25Z",
    "title_canon_sha256": "631449a20e71f910bc2851114c21dacc6e962720b7451f70eef0161089f81066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05244",
    "kind": "arxiv",
    "version": 1
  }
}