Pith Number

pith:YROM2LEG

pith:2016:YROM2LEGSBT3I4FGUUCS5UXC54

not attested not anchored not stored refs pending

Kloosterman paths of prime powers moduli

Emmanuel Royer, Guillaume Ricotta

arxiv:1609.03694 v4 · 2016-09-13 · 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{YROM2LEGSBT3I4FGUUCS5UXC54}

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	2026-05-18T00:34:57.780995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c45ccd2c869067b470a6a5052ed2e2ef1311f318212ef909e00a96d3d383592f

Aliases

arxiv: 1609.03694 · arxiv_version: 1609.03694v4 · doi: 10.48550/arxiv.1609.03694 · pith_short_12: YROM2LEGSBT3 · pith_short_16: YROM2LEGSBT3I4FG · pith_short_8: YROM2LEG

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/YROM2LEGSBT3I4FGUUCS5UXC54 \
  | 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: c45ccd2c869067b470a6a5052ed2e2ef1311f318212ef909e00a96d3d383592f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3576c5c29ae13a58fe4d4b1afe67328ba4a66d02a27d7714e3cf58a3ef02382b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-13T06:27:47Z",
    "title_canon_sha256": "55a574e057da294e7b976ed89837af50e44d1b23ef427b83e129acb89b33ece6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03694",
    "kind": "arxiv",
    "version": 4
  }
}