Pith Number

pith:GYWRFY7R

pith:2014:GYWRFY7R5MCK43UYIH2MZ6O4GL

not attested not anchored not stored refs pending

Gauss sums, Jacobi sums and cyclotomic units related to torsion Galois modules

Luca Caputo, St\'ephane Vinatier

arxiv:1402.3795 v1 · 2014-02-16 · 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{GYWRFY7R5MCK43UYIH2MZ6O4GL}

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	2026-05-18T02:58:55.579417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362d12e3f1eb04ae6e9841f4ccf9dc32c3519accf1e8059ae22763e71f02096e

Aliases

arxiv: 1402.3795 · arxiv_version: 1402.3795v1 · doi: 10.48550/arxiv.1402.3795 · pith_short_12: GYWRFY7R5MCK · pith_short_16: GYWRFY7R5MCK43UY · pith_short_8: GYWRFY7R

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/GYWRFY7R5MCK43UYIH2MZ6O4GL \
  | 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: 362d12e3f1eb04ae6e9841f4ccf9dc32c3519accf1e8059ae22763e71f02096e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ec2402bc031e54efe5d16b1c25db2d4c4634bb9f8f4dc93833f6ea428bcc3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-16T12:39:33Z",
    "title_canon_sha256": "181a7b5551883de874a1fbc4fa0f356cfa441a2f353d9de929edef8a3caeb9cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3795",
    "kind": "arxiv",
    "version": 1
  }
}