Pith Number

pith:UBFUDMSD

pith:2026:UBFUDMSD3YFEP3DYEJPVO5IZKW

not attested not anchored not stored refs pending

The geometrisation problem for topological groups

Christian Rosendal

arxiv:2605.23806 v1 · 2026-05-22 · 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{UBFUDMSD3YFEP3DYEJPVO5IZKW}

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	2026-05-25T02:02:33.352485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a04b41b243de0a47ec78225f577519558a298f79d438c2ecc52318b48bc562f2

Aliases

arxiv: 2605.23806 · arxiv_version: 2605.23806v1 · doi: 10.48550/arxiv.2605.23806 · pith_short_12: UBFUDMSD3YFE · pith_short_16: UBFUDMSD3YFEP3DY · pith_short_8: UBFUDMSD

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/UBFUDMSD3YFEP3DYEJPVO5IZKW \
  | 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: a04b41b243de0a47ec78225f577519558a298f79d438c2ecc52318b48bc562f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f3dad2faac513d06b4aa2cf07ce644957306c765c20c90386dea14367145e7",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-22T16:09:56Z",
    "title_canon_sha256": "f01429f2d92fbab3eadb8828a08eeaa47f4f20353a23bb572012236003feb83f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23806",
    "kind": "arxiv",
    "version": 1
  }
}