Pith Number

pith:K7DSNCST

pith:2013:K7DSNCSTNRKLTYNST5NJANOD3P

not attested not anchored not stored refs pending

Scattered Subsets of Groups

I.V. Protasov, S.V. Slobodianiuk, T.O. Banakh

arxiv:1312.6946 v1 · 2013-12-25 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7DSNCSTNRKLTYNST5NJANOD3P}

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	2026-05-18T03:03:46.374654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c7268a536c54b9e1b29f5a9035c3dbccc541f693d5cd263332b47ecfe9400c

Aliases

arxiv: 1312.6946 · arxiv_version: 1312.6946v1 · doi: 10.48550/arxiv.1312.6946 · pith_short_12: K7DSNCSTNRKL · pith_short_16: K7DSNCSTNRKLTYNS · pith_short_8: K7DSNCST

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/K7DSNCSTNRKLTYNST5NJANOD3P \
  | 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: 57c7268a536c54b9e1b29f5a9035c3dbccc541f693d5cd263332b47ecfe9400c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89f1f23415467f833fe84e43807d87d27d9a727e8c498dd5f4b409ead3d4042a",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-25T08:56:44Z",
    "title_canon_sha256": "711e47da485ce06a93aa7ee1c07a2396321b595d9292c3e3f9521279d42b80f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6946",
    "kind": "arxiv",
    "version": 1
  }
}