Pith Number

pith:NCD7QXQ2

pith:2013:NCD7QXQ2LBERUQH3O5R36JP44O

not attested not anchored not stored refs pending

Delicacy of the Riemann hypothesis and certain subsequences of superabundant numbers

Sadegh Nazardonyavi, Semyon Yakubovich

arxiv:1306.3434 v2 · 2013-06-13 · 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{NCD7QXQ2LBERUQH3O5R36JP44O}

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	2026-05-18T03:20:47.384450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6887f85e1a58491a40fb7763bf25fce389ba6dff277c6a1b6490c19a167c6e6b

Aliases

arxiv: 1306.3434 · arxiv_version: 1306.3434v2 · doi: 10.48550/arxiv.1306.3434 · pith_short_12: NCD7QXQ2LBER · pith_short_16: NCD7QXQ2LBERUQH3 · pith_short_8: NCD7QXQ2

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/NCD7QXQ2LBERUQH3O5R36JP44O \
  | 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: 6887f85e1a58491a40fb7763bf25fce389ba6dff277c6a1b6490c19a167c6e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159b7301960bcda0a44f166fec30a8910de148cf6c2935e98518740c2147614d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-13T09:48:34Z",
    "title_canon_sha256": "eba4d0ffcc38f71b9eeaf2a13c0f992b4fa2e028f795e5071c068c1e8a0ff955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3434",
    "kind": "arxiv",
    "version": 2
  }
}