Pith Number

pith:42CBRBCI

pith:2014:42CBRBCIME7KKWXINXGRX6BWEK

not attested not anchored not stored refs pending

The square root law and structure of finite rings

A. Iosevich, B. Murphy, J. Pakianathan

arxiv:1405.7657 v1 · 2014-05-29 · math.NT · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42CBRBCIME7KKWXINXGRX6BWEK}

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	2026-05-18T02:50:50.781372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e684188448613ea55ae86dcd1bf8362296138ab292f351896c736997ba9fe46f

Aliases

arxiv: 1405.7657 · arxiv_version: 1405.7657v1 · doi: 10.48550/arxiv.1405.7657 · pith_short_12: 42CBRBCIME7K · pith_short_16: 42CBRBCIME7KKWXI · pith_short_8: 42CBRBCI

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/42CBRBCIME7KKWXINXGRX6BWEK \
  | 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: e684188448613ea55ae86dcd1bf8362296138ab292f351896c736997ba9fe46f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d88b1343c9d384241481628c86288d2581d4eb10f63e4aea2f18b094b502bd",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-29T19:07:23Z",
    "title_canon_sha256": "1feddab28dad4dbe49219cdc7826f97e6a72bd9d9d72a5a635143f45ca2b1e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7657",
    "kind": "arxiv",
    "version": 1
  }
}