Pith Number

pith:BG5NTP57

pith:2014:BG5NTP57Y7WNRNPQIBGC4TX3YG

not attested not anchored not stored refs pending

Shifted convolution and the Titchmarsh divisor problem over F_q[t]

J. C. Andrade, L. Bary-Soroker, Z. Rudnick

arxiv:1407.2076 v2 · 2014-07-08 · 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{BG5NTP57Y7WNRNPQIBGC4TX3YG}

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	2026-05-18T01:35:12.223585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09bad9bfbfc7ecd8b5f0404c2e4efbc19864a7dc44927d53d62ef78f7bdc0e74

Aliases

arxiv: 1407.2076 · arxiv_version: 1407.2076v2 · doi: 10.48550/arxiv.1407.2076 · pith_short_12: BG5NTP57Y7WN · pith_short_16: BG5NTP57Y7WNRNPQ · pith_short_8: BG5NTP57

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/BG5NTP57Y7WNRNPQIBGC4TX3YG \
  | 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: 09bad9bfbfc7ecd8b5f0404c2e4efbc19864a7dc44927d53d62ef78f7bdc0e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf3b6b24fcd46ebcbea7d293dcd18d6503360d37e0a75a93f59f9d1d18e52d3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-08T13:33:40Z",
    "title_canon_sha256": "9b6d52627456c35a6a7066b0f495ba44c608bb1c867e12983b730b569fd7c64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2076",
    "kind": "arxiv",
    "version": 2
  }
}