Pith Number

pith:JOFVQJY4

pith:2015:JOFVQJY4J6XFVPWPKBI4HSEE5U

not attested not anchored not stored refs pending

Small doubling in ordered groups: generators and structure

Alain Plagne, Gregory A. Freiman, Marcel Herzog, Mercede Maj, Patrizia Longobardi, Yonutz V. Stanchescu

arxiv:1501.01838 v1 · 2015-01-08 · math.NT · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOFVQJY4J6XFVPWPKBI4HSEE5U}

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	2026-05-18T00:08:05.489843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b8b58271c4fae5abecf5051c3c884ed30b2fdac27a05c5af24523ef002f641d

Aliases

arxiv: 1501.01838 · arxiv_version: 1501.01838v1 · doi: 10.48550/arxiv.1501.01838 · pith_short_12: JOFVQJY4J6XF · pith_short_16: JOFVQJY4J6XFVPWP · pith_short_8: JOFVQJY4

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/JOFVQJY4J6XFVPWPKBI4HSEE5U \
  | 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: 4b8b58271c4fae5abecf5051c3c884ed30b2fdac27a05c5af24523ef002f641d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92dd6e02805a9079384103b857c6647360ff51d6dbf7893a6aac2ad0134ae151",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-08T13:24:29Z",
    "title_canon_sha256": "94a2ff4828df900e85ac570a9b75f48e2dd2ff5d31ee209b65876cf0d1b95405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01838",
    "kind": "arxiv",
    "version": 1
  }
}