Pith Number

pith:EFS73UID

pith:2024:EFS73UIDCSVLXITSDPVNOD5WSS

not attested not anchored not stored refs pending

Maximal order for divisor functions and zeros of the Riemann zeta-function

Hirotaka Akatsuka

arxiv:2411.19259 v1 · 2024-11-28 · 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{EFS73UIDCSVLXITSDPVNOD5WSS}

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	2026-07-05T09:41:59.894483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2165fdd10314aabba2721bead70fb694a377e72cb72fc29eff2563b779fdcf1f

Aliases

arxiv: 2411.19259 · arxiv_version: 2411.19259v1 · doi: 10.48550/arxiv.2411.19259 · pith_short_12: EFS73UIDCSVL · pith_short_16: EFS73UIDCSVLXITS · pith_short_8: EFS73UID

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/EFS73UIDCSVLXITSDPVNOD5WSS \
  | 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: 2165fdd10314aabba2721bead70fb694a377e72cb72fc29eff2563b779fdcf1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f4268310169b9b25ed2c417ccf39f2f39c36064c9a4bebb4799364b36d0615",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-28T16:48:01Z",
    "title_canon_sha256": "4c3049e0a845bd7568f8819c40a0635b716b2f2db2a05dae8de858242347d639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19259",
    "kind": "arxiv",
    "version": 1
  }
}