Pith Number

pith:ROZ23PZO

pith:2015:ROZ23PZO6RJ3NZYRTR4UMNSAXZ

not attested not anchored not stored refs pending

An asymptotic Robin inequality

Patrick Sol\'e, Yuyang Zhu

arxiv:1602.03384 v1 · 2015-12-31 · 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{ROZ23PZO6RJ3NZYRTR4UMNSAXZ}

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	2026-05-18T01:21:00.085620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bb3adbf2ef453b6e7119c79463640be64f5cf79265f9aef0238530bdf4f425b

Aliases

arxiv: 1602.03384 · arxiv_version: 1602.03384v1 · doi: 10.48550/arxiv.1602.03384 · pith_short_12: ROZ23PZO6RJ3 · pith_short_16: ROZ23PZO6RJ3NZYR · pith_short_8: ROZ23PZO

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/ROZ23PZO6RJ3NZYRTR4UMNSAXZ \
  | 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: 8bb3adbf2ef453b6e7119c79463640be64f5cf79265f9aef0238530bdf4f425b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7101548ac7c6a0ee83b9a74c98af81c4364a0aaca28b4393c8328b6e1969ee8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-31T09:48:20Z",
    "title_canon_sha256": "7571ff0390a0089be100456f97dbad6cfffd9634736da1e594ab65b6601525ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03384",
    "kind": "arxiv",
    "version": 1
  }
}