Pith Number

pith:RV5UYLVA

pith:2016:RV5UYLVA5PRYJBENN5Y2ZPZWKO

not attested not anchored not stored refs pending

The $p$-Adic Valuations of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin, Sangman Lee, Yakov Sapozhnikov

arxiv:1608.04047 v3 · 2016-08-14 · 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{RV5UYLVA5PRYJBENN5Y2ZPZWKO}

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	2026-05-18T00:48:28.048616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d7b4c2ea0ebe384848d6f71acbf3653a7e81dff09db93655593e7894813ed01

Aliases

arxiv: 1608.04047 · arxiv_version: 1608.04047v3 · doi: 10.48550/arxiv.1608.04047 · pith_short_12: RV5UYLVA5PRY · pith_short_16: RV5UYLVA5PRYJBEN · pith_short_8: RV5UYLVA

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/RV5UYLVA5PRYJBENN5Y2ZPZWKO \
  | 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: 8d7b4c2ea0ebe384848d6f71acbf3653a7e81dff09db93655593e7894813ed01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71fba33a4d7ee8284ee87134d5d800900ba0a9aebd27c9f997de42801f7deda9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-14T01:52:26Z",
    "title_canon_sha256": "3e7b1286d73b0b80a1f2d7aa188cda6c9f05e8f8b31b3f34287b6b586a17bca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04047",
    "kind": "arxiv",
    "version": 3
  }
}