Pith Number

pith:BO4UDMRI

pith:2005:BO4UDMRIZVG22Q7APJGVQBXIFQ

not attested not anchored not stored refs pending

On commutators of equivariant homeomorphisms

Tomasz Rybicki

arxiv:math/0511603 v1 · 2005-11-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BO4UDMRIZVG22Q7APJGVQBXIFQ}

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	2026-05-18T04:23:54.740720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bb941b228cd4dad43e07a4d5806e82c1e8f342e06369ff472743f0bcbccd248

Aliases

arxiv: math/0511603 · arxiv_version: math/0511603v1 · doi: 10.48550/arxiv.math/0511603 · pith_short_12: BO4UDMRIZVG2 · pith_short_16: BO4UDMRIZVG22Q7A · pith_short_8: BO4UDMRI

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/BO4UDMRIZVG22Q7APJGVQBXIFQ \
  | 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: 0bb941b228cd4dad43e07a4d5806e82c1e8f342e06369ff472743f0bcbccd248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d2dfb714c78e0253107fca3b040cc572702c78933137050021b9350ab32a9f4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-11-24T10:08:48Z",
    "title_canon_sha256": "ddc8f90c3adc464c8e5bd8a7dbdd4afc1c6864653cb3376483c66278eedf9b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511603",
    "kind": "arxiv",
    "version": 1
  }
}