Pith Number

pith:32I7OPUG

pith:2024:32I7OPUGVPD4QITTUZRFHTLFMB

not attested not anchored not stored refs pending

Distributional Topological Complexity of groups

Alexander Dranishnikov

arxiv:2404.03041 v2 · 2024-04-03 · 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{32I7OPUGVPD4QITTUZRFHTLFMB}

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.

Cited by

5 papers in Pith

On the complexity of parametrized motion planning algorithms

On the analog category of finite groups

On distributional topological complexity of groups and manifolds

Topological complexity sequences of groups

Receipt and verification

First computed	2026-07-05T11:52:12.788213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de91f73e86abc7c82273a66253cd656066ff9346bd3416bec25404a97452cbbc

Aliases

arxiv: 2404.03041 · arxiv_version: 2404.03041v2 · doi: 10.48550/arxiv.2404.03041 · pith_short_12: 32I7OPUGVPD4 · pith_short_16: 32I7OPUGVPD4QITT · pith_short_8: 32I7OPUG

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/32I7OPUGVPD4QITTUZRFHTLFMB \
  | 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: de91f73e86abc7c82273a66253cd656066ff9346bd3416bec25404a97452cbbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ea1e1608bd1b08063c8bcfad8188171e59b79ae368cebfec5377cf1e963d24",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-04-03T20:04:22Z",
    "title_canon_sha256": "20ae0386613d3a0aaf507bde916ba1794b3c8c1abed1bb7f085817a94962a156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.03041",
    "kind": "arxiv",
    "version": 2
  }
}