Pith Number

pith:LZW72IDP

pith:2014:LZW72IDPAPG2YR4Q53CAN2NFJ7

not attested not anchored not stored refs pending

Yet another representation for the sum of reciprocals of the nontrivial zeros of the Riemann zeta-function

Yuri Matiyasevich

arxiv:1410.7036 v1 · 2014-10-26 · 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{LZW72IDPAPG2YR4Q53CAN2NFJ7}

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	2026-07-05T03:25:08.224981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e6dfd206f03cdac4790eec406e9a54fc7741039a3ddf507c7b6b4257e42662d

Aliases

arxiv: 1410.7036 · arxiv_version: 1410.7036v1 · doi: 10.48550/arxiv.1410.7036 · pith_short_12: LZW72IDPAPG2 · pith_short_16: LZW72IDPAPG2YR4Q · pith_short_8: LZW72IDP

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/LZW72IDPAPG2YR4Q53CAN2NFJ7 \
  | 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: 5e6dfd206f03cdac4790eec406e9a54fc7741039a3ddf507c7b6b4257e42662d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203d907111205e0edbccb31860b746be0bf333a6b452a4420d619bffecf009ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-26T14:47:32Z",
    "title_canon_sha256": "934fae3129dd32187558353f2f603e13220ad5aba3a1f247c222d62582a95305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7036",
    "kind": "arxiv",
    "version": 1
  }
}