Pith Number

pith:FUAQM5WW

pith:2022:FUAQM5WWG3DTN6IRG7MFAT55U6

not attested not anchored not stored refs pending

Averages of quadratic twists of long Dirichlet polynomials

Brad Rodgers, Brian Conrey

arxiv:2208.01783 v2 · 2022-08-02 · 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{FUAQM5WWG3DTN6IRG7MFAT55U6}

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	2026-07-05T11:51:59.123468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d010676d636c736f91137d8504fbda79cc80758050c4b1e384ecfc01106cff8

Aliases

arxiv: 2208.01783 · arxiv_version: 2208.01783v2 · doi: 10.48550/arxiv.2208.01783 · pith_short_12: FUAQM5WWG3DT · pith_short_16: FUAQM5WWG3DTN6IR · pith_short_8: FUAQM5WW

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/FUAQM5WWG3DTN6IRG7MFAT55U6 \
  | 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: 2d010676d636c736f91137d8504fbda79cc80758050c4b1e384ecfc01106cff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a4e64084ad74d6d801fb9888332164ab08ee2691868dbfce3732ab4ebc6a0a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-08-02T23:37:17Z",
    "title_canon_sha256": "5c27ecaf5039071fbe0c6c04fa76c6d47fa7f5058817ac739f411029dae0aa20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.01783",
    "kind": "arxiv",
    "version": 2
  }
}