Pith Number

pith:GEZ3Q7T5

pith:2017:GEZ3Q7T5WGRWAHKZG4N7HSVFEK

not attested not anchored not stored refs pending

Improving the Burgess bound via Polya-Vinogradov

Elijah Fromm, Leo Goldmakher

arxiv:1706.03002 v1 · 2017-06-09 · 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{GEZ3Q7T5WGRWAHKZG4N7HSVFEK}

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	2026-05-18T00:42:40.301124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3133b87e7db1a3601d59371bf3caa522a9ba3ee087f58857897074f9f6de0b9d

Aliases

arxiv: 1706.03002 · arxiv_version: 1706.03002v1 · doi: 10.48550/arxiv.1706.03002 · pith_short_12: GEZ3Q7T5WGRW · pith_short_16: GEZ3Q7T5WGRWAHKZ · pith_short_8: GEZ3Q7T5

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/GEZ3Q7T5WGRWAHKZG4N7HSVFEK \
  | 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: 3133b87e7db1a3601d59371bf3caa522a9ba3ee087f58857897074f9f6de0b9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b538f6018bd031c17be1b1240bfae3c097c23bfaafae1f8b0de01e1957bc7cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-09T15:38:01Z",
    "title_canon_sha256": "482ad9c639f7535da265de032432b06e89921134cd52de003f1c94069f42bf46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03002",
    "kind": "arxiv",
    "version": 1
  }
}