Pith Number

pith:ZZ3ZS4QU

pith:2019:ZZ3ZS4QUXKF43GODEX4LRO7DTS

not attested not anchored not stored refs pending

Computation of Jacobi sums and cyclotomic numbers with reduced complexity

Jagmohan Tanti, Md Helal Ahmed

arxiv:1906.07657 v1 · 2019-06-13 · 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{ZZ3ZS4QUXKF43GODEX4LRO7DTS}

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	2026-05-17T23:42:59.609991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce77997214ba8bcd99c325f8b8bbe39c92d0493e2342ce26a7ed40348a65c083

Aliases

arxiv: 1906.07657 · arxiv_version: 1906.07657v1 · doi: 10.48550/arxiv.1906.07657 · pith_short_12: ZZ3ZS4QUXKF4 · pith_short_16: ZZ3ZS4QUXKF43GOD · pith_short_8: ZZ3ZS4QU

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/ZZ3ZS4QUXKF43GODEX4LRO7DTS \
  | 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: ce77997214ba8bcd99c325f8b8bbe39c92d0493e2342ce26a7ed40348a65c083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d344fd86688248f18840c9ed69f744257a2459d2c0d04bdc886a0409fc53d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-13T06:49:36Z",
    "title_canon_sha256": "e38ffdbe07c633cead80ae24b50cbcbb1e519632e50d9bba6d2b294e39fd38ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07657",
    "kind": "arxiv",
    "version": 1
  }
}