Pith Number

pith:4ROXS5VU

pith:2016:4ROXS5VUOC3NNIUXK6XTMQROTK

not attested not anchored not stored refs pending

Divisibility questions in commutative algebraic groups

Laura Paladino

arxiv:1603.05857 v8 · 2016-03-18 · 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{4ROXS5VUOC3NNIUXK6XTMQROTK}

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	2026-05-17T23:49:12.327033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45d7976b470b6d6a29757af36422e9a90864133865633fb096f8b2ffc39e977

Aliases

arxiv: 1603.05857 · arxiv_version: 1603.05857v8 · doi: 10.48550/arxiv.1603.05857 · pith_short_12: 4ROXS5VUOC3N · pith_short_16: 4ROXS5VUOC3NNIUX · pith_short_8: 4ROXS5VU

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/4ROXS5VUOC3NNIUXK6XTMQROTK \
  | 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: e45d7976b470b6d6a29757af36422e9a90864133865633fb096f8b2ffc39e977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1003e17b7916b4d4bf7fcb45b8b53f943f10b28a758db92f1e235b5a22d4b1ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-18T12:36:01Z",
    "title_canon_sha256": "4f715a6d78fdd8597af88da89095e8923f2d8f87a876d4b060f40bf6067549b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05857",
    "kind": "arxiv",
    "version": 8
  }
}