Pith Number

pith:DJXIWPHM

pith:2018:DJXIWPHMLJXVIW4PX35EGOO4X2

not attested not anchored not stored refs pending

Kloosterman paths of prime powers moduli, II

Emmanuel Royer, Guillaume Ricotta, Igor Shparlinski

arxiv:1810.01150 v3 · 2018-10-02 · 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{DJXIWPHMLJXVIW4PX35EGOO4X2}

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	2026-05-17T23:46:55.084539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a6e8b3cec5a6f545b8fbefa4339dcbebe6a67d3ea93c06219373a3f3d595d9b

Aliases

arxiv: 1810.01150 · arxiv_version: 1810.01150v3 · doi: 10.48550/arxiv.1810.01150 · pith_short_12: DJXIWPHMLJXV · pith_short_16: DJXIWPHMLJXVIW4P · pith_short_8: DJXIWPHM

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/DJXIWPHMLJXVIW4PX35EGOO4X2 \
  | 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: 1a6e8b3cec5a6f545b8fbefa4339dcbebe6a67d3ea93c06219373a3f3d595d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5537c17cbf764112a0c60e63460d096e1cdcacd254728ed7836add1ade0fe6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-02T10:05:08Z",
    "title_canon_sha256": "e9d8b0a69cfbc2d53305177a5f2d365ad06187f70020784eef302d87fb4dc44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01150",
    "kind": "arxiv",
    "version": 3
  }
}