Pith Number

pith:4BPRON7X

pith:2016:4BPRON7XLGN44EORHVSP676MOJ

not attested not anchored not stored refs pending

Lipschitz structure and minimal metrics on topological groups

Christian Rosendal

arxiv:1611.04057 v1 · 2016-11-13 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BPRON7XLGN44EORHVSP676MOJ}

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	2026-05-18T00:59:17.714677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05f1737f7599bce11d13d64ff7fcc72764be2c384c1d3e1ace86af226e98c90

Aliases

arxiv: 1611.04057 · arxiv_version: 1611.04057v1 · doi: 10.48550/arxiv.1611.04057 · pith_short_12: 4BPRON7XLGN4 · pith_short_16: 4BPRON7XLGN44EOR · pith_short_8: 4BPRON7X

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/4BPRON7XLGN44EORHVSP676MOJ \
  | 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: e05f1737f7599bce11d13d64ff7fcc72764be2c384c1d3e1ace86af226e98c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee501a44f8ced573345a9129e223ec8488621ab570f84a6f383f4a320a4868cb",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-13T00:19:53Z",
    "title_canon_sha256": "c6c7b2c81e396f8ca1276f2d4b15ad1bce7e7a2e33fdfd31441f8125d0d335f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04057",
    "kind": "arxiv",
    "version": 1
  }
}