Pith Number

pith:VCSEOPTK

pith:2018:VCSEOPTK66RMVDQWVOOA5YWYGV

not attested not anchored not stored refs pending

The equidistribution of L-functions of twists by Witt vector Dirichlet characters over function fields

Will Sawin

arxiv:1805.04330 v2 · 2018-05-11 · 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{VCSEOPTK66RMVDQWVOOA5YWYGV}

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	2026-05-18T00:01:09.404648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a4473e6af7a2ca8e16ab9c0ee2d8355c0ff4cdd47f159a7c2a07c7f13d85b4

Aliases

arxiv: 1805.04330 · arxiv_version: 1805.04330v2 · doi: 10.48550/arxiv.1805.04330 · pith_short_12: VCSEOPTK66RM · pith_short_16: VCSEOPTK66RMVDQW · pith_short_8: VCSEOPTK

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/VCSEOPTK66RMVDQWVOOA5YWYGV \
  | 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: a8a4473e6af7a2ca8e16ab9c0ee2d8355c0ff4cdd47f159a7c2a07c7f13d85b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9566d356a086b29387a56bb0e35d2eba76a2579a376026c45c2b057c155a5a1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-11T11:26:37Z",
    "title_canon_sha256": "46435a4962e6d3af9855ac21de2d64d0a5c2b8ecbeb03c7d910e59a44bda2c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04330",
    "kind": "arxiv",
    "version": 2
  }
}