Pith Number

pith:GCW76CPY

pith:2015:GCW76CPYFD3US4FDVTSAQPSJLG

not attested not anchored not stored refs pending

Finiteness of the topological rank of diffeomorphism groups

Azer Akhmedov

arxiv:1510.04184 v2 · 2015-10-14 · math.GR · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCW76CPYFD3US4FDVTSAQPSJLG}

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	2026-05-18T01:30:07.606444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30adff09f828f74970a3ace4083e4959814f94393345c7e2cef727cda5213001

Aliases

arxiv: 1510.04184 · arxiv_version: 1510.04184v2 · doi: 10.48550/arxiv.1510.04184 · pith_short_12: GCW76CPYFD3U · pith_short_16: GCW76CPYFD3US4FD · pith_short_8: GCW76CPY

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/GCW76CPYFD3US4FDVTSAQPSJLG \
  | 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: 30adff09f828f74970a3ace4083e4959814f94393345c7e2cef727cda5213001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ada6d277d25d380f74dd556b286a240dc776d037feb9d441b8a51535afce3f",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-14T16:14:53Z",
    "title_canon_sha256": "caf2b7907751a7f45e40203695b91135425d32958c72a2a5d3ea98abbdc92520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04184",
    "kind": "arxiv",
    "version": 2
  }
}