Pith Number

pith:JD6WQDLG

pith:2011:JD6WQDLGHZEIRXG3J2GUCWMLYZ

not attested not anchored not stored refs pending

Algebraically determined topologies on permutation groups

Igor Guran, Igor Protasov, Taras Banakh

arxiv:1201.0087 v4 · 2011-12-30 · 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{JD6WQDLGHZEIRXG3J2GUCWMLYZ}

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	2026-05-18T03:22:06.324822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48fd680d663e4888dcdb4e8d41598bc660fb78d01077652c1b0ddd1afe125a72

Aliases

arxiv: 1201.0087 · arxiv_version: 1201.0087v4 · doi: 10.48550/arxiv.1201.0087 · pith_short_12: JD6WQDLGHZEI · pith_short_16: JD6WQDLGHZEIRXG3 · pith_short_8: JD6WQDLG

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/JD6WQDLGHZEIRXG3J2GUCWMLYZ \
  | 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: 48fd680d663e4888dcdb4e8d41598bc660fb78d01077652c1b0ddd1afe125a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a0989fe6de15e4c6fa32d7f0c6dbb6221dc13dbb6c6becb11ba578ecdbc603",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-30T09:28:11Z",
    "title_canon_sha256": "1c4705a5ee321ced24ac4e950976d825fd37cb337f0991936e18a752a49ad3f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0087",
    "kind": "arxiv",
    "version": 4
  }
}