Pith Number

pith:TGNL233S

pith:2013:TGNL233SNKGXVHYWVNHJ3WKRJN

not attested not anchored not stored refs pending

Upper and lower bounds for the function S(t) on the short intervals

Maxim A. Korolev

arxiv:1302.0352 v1 · 2013-02-02 · 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{TGNL233SNKGXVHYWVNHJ3WKRJN}

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	2026-05-18T03:34:37.396761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999abd6f726a8d7a9f16ab4e9dd9514b406a11c78c50a0acd2b491a12c6481a7

Aliases

arxiv: 1302.0352 · arxiv_version: 1302.0352v1 · doi: 10.48550/arxiv.1302.0352 · pith_short_12: TGNL233SNKGX · pith_short_16: TGNL233SNKGXVHYW · pith_short_8: TGNL233S

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/TGNL233SNKGXVHYWVNHJ3WKRJN \
  | 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: 999abd6f726a8d7a9f16ab4e9dd9514b406a11c78c50a0acd2b491a12c6481a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c39df2d1d7726df7385b0bbed87586b7946bd41f25bea347deeae7f07393b5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-02T08:18:09Z",
    "title_canon_sha256": "65d0682563c77093772ccccf2ffcbbfa38a379b84767b7eda3306cbeff669c78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0352",
    "kind": "arxiv",
    "version": 1
  }
}