Pith Number

pith:646X2XJN

pith:2019:646X2XJNPR2R5EKXHBY4DOV4FK

not attested not anchored not stored refs pending

Jacobi sums and cyclotomic numbers: A survey report

Jagmohan Tanti, Md. Helal Ahmed

arxiv:1906.09960 v1 · 2019-06-21 · 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{646X2XJNPR2R5EKXHBY4DOV4FK}

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	2026-05-17T23:42:35.962723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73d7d5d2d7c751e91573871c1babc2a90d9a042b62d27d569a5cb27aa28f89e

Aliases

arxiv: 1906.09960 · arxiv_version: 1906.09960v1 · doi: 10.48550/arxiv.1906.09960 · pith_short_12: 646X2XJNPR2R · pith_short_16: 646X2XJNPR2R5EKX · pith_short_8: 646X2XJN

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/646X2XJNPR2R5EKXHBY4DOV4FK \
  | 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: f73d7d5d2d7c751e91573871c1babc2a90d9a042b62d27d569a5cb27aa28f89e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec16dc97af2c6ad073496ac4606c05fecb6726ccddd0a3216657b4039167e97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-21T05:18:29Z",
    "title_canon_sha256": "b972ad455b390e704bf80e9da761ed0eaf31910e048dc5ed7f130d4f7740cdf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09960",
    "kind": "arxiv",
    "version": 1
  }
}