Pith Number

pith:OYU4NXDL

pith:2010:OYU4NXDLLVAVTZ4SFJNYQKC2AP

not attested not anchored not stored refs pending

On Nicolas criterion for the Riemann Hypothesis

Michel Planat (FEMTO-ST), Patrick Sol\'e, YoungJu Choie

arxiv:1012.3613 v2 · 2010-12-16 · math.NT

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

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	2026-05-18T04:33:03.959518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7629c6dc6b5d4159e7922a5b88285a03fd91c9f7b0d91709b73c6fffefba7033

Aliases

arxiv: 1012.3613 · arxiv_version: 1012.3613v2 · doi: 10.48550/arxiv.1012.3613 · pith_short_12: OYU4NXDLLVAV · pith_short_16: OYU4NXDLLVAVTZ4S · pith_short_8: OYU4NXDL

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/OYU4NXDLLVAVTZ4SFJNYQKC2AP \
  | 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: 7629c6dc6b5d4159e7922a5b88285a03fd91c9f7b0d91709b73c6fffefba7033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c9062644f279b1ca23b6a9dd03ead3d680a6d4c0f420f632e820fabf855e94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-16T14:17:19Z",
    "title_canon_sha256": "0a68df2a6e0d32141d17e4fa6cb0aa951c4413ec0eef7980adc59366fbc5513e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3613",
    "kind": "arxiv",
    "version": 2
  }
}