Pith Number

pith:T4G7WWKL

pith:2018:T4G7WWKLZFZ62KVT2GQRZQ6VBL

not attested not anchored not stored refs pending

On a theorem of Bredihin and Linnik

H. Iwaniec, J.B. Friedlander

arxiv:1807.06648 v1 · 2018-07-17 · 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{T4G7WWKLZFZ62KVT2GQRZQ6VBL}

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	2026-05-18T00:10:27.276932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0dfb594bc973ed2ab3d1a11cc3d50ad4bb4d4170df3e9782089900c26a6015

Aliases

arxiv: 1807.06648 · arxiv_version: 1807.06648v1 · doi: 10.48550/arxiv.1807.06648 · pith_short_12: T4G7WWKLZFZ6 · pith_short_16: T4G7WWKLZFZ62KVT · pith_short_8: T4G7WWKL

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/T4G7WWKLZFZ62KVT2GQRZQ6VBL \
  | 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: 9f0dfb594bc973ed2ab3d1a11cc3d50ad4bb4d4170df3e9782089900c26a6015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d462e2603af4f2702d9f53ae720ac99bc246a5f89d941c9e8fad409182e955f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-17T20:12:17Z",
    "title_canon_sha256": "43a5af7604f2387fa781fe38bd73400cc0a0b62c90bbc933a93e2fa3d81000be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06648",
    "kind": "arxiv",
    "version": 1
  }
}