Pith Number

pith:HENKI4WD

pith:2015:HENKI4WDPND3ROGN3MSU6DCPHS

not attested not anchored not stored refs pending

Entiers friables dans des progressions arithm\'etiques de grand module

Daniel Fiorilli, R\'egis de la Bret\`eche

arxiv:1506.03268 v1 · 2015-06-10 · 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{HENKI4WDPND3ROGN3MSU6DCPHS}

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	2026-05-18T01:55:31.095444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391aa472c37b47b8b8cddb254f0c4f3cb6fafdb3385da34056ed383fcc0c6ddc

Aliases

arxiv: 1506.03268 · arxiv_version: 1506.03268v1 · doi: 10.48550/arxiv.1506.03268 · pith_short_12: HENKI4WDPND3 · pith_short_16: HENKI4WDPND3ROGN · pith_short_8: HENKI4WD

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/HENKI4WDPND3ROGN3MSU6DCPHS \
  | 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: 391aa472c37b47b8b8cddb254f0c4f3cb6fafdb3385da34056ed383fcc0c6ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6839936659e30aa1e6de04a2b948cb99d72ecad6938890bcf70ea9ceed9114",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-10T11:59:51Z",
    "title_canon_sha256": "ae65fd813ccf4686994ec66c79a94c39996747225e18374de0b77699900838eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03268",
    "kind": "arxiv",
    "version": 1
  }
}