Pith Number

pith:TGSELTGU

pith:2006:TGSELTGU4DSGFVIPWKA2O7543Q

not attested not anchored not stored refs pending

Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli

Liangyi Zhao, Stephan Baier

arxiv:math/0602116 v4 · 2006-02-07 · 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{TGSELTGU4DSGFVIPWKA2O7543Q}

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	2026-05-18T01:38:24.417277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a445ccd4e0e462d50fb281a77fbcdc38eda826984e5a9e710c05c8c4b0b197

Aliases

arxiv: math/0602116 · arxiv_version: math/0602116v4 · doi: 10.48550/arxiv.math/0602116 · pith_short_12: TGSELTGU4DSG · pith_short_16: TGSELTGU4DSGFVIP · pith_short_8: TGSELTGU

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/TGSELTGU4DSGFVIPWKA2O7543Q \
  | 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: 99a445ccd4e0e462d50fb281a77fbcdc38eda826984e5a9e710c05c8c4b0b197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fdeab69251bf88979d8f6fbe11224ee7db49e7dfbd039d63ff09d4a0bd7a430",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-02-07T01:52:33Z",
    "title_canon_sha256": "98a7fc2235963df992ec07d7d73f61edafc9c00ff65b8105faf6380606b5789f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602116",
    "kind": "arxiv",
    "version": 4
  }
}