Pith Number

pith:JNB7ZCHO

pith:2025:JNB7ZCHOVVHGUUIOGOQQF7O2JP

not attested not anchored not stored refs pending

Bounded cohomology of measure-preserving homeomorphism groups of non-orientable surfaces

Lior Menashe, Michael Brandenbursky

arxiv:2506.02728 v1 · 2025-06-03 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNB7ZCHOVVHGUUIOGOQQF7O2JP}

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	2026-07-05T11:15:07.237119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b43fc88eead4e6a510e33a102fdda4bf7c159433128c27307b387b97d896d84

Aliases

arxiv: 2506.02728 · arxiv_version: 2506.02728v1 · doi: 10.48550/arxiv.2506.02728 · pith_short_12: JNB7ZCHOVVHG · pith_short_16: JNB7ZCHOVVHGUUIO · pith_short_8: JNB7ZCHO

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/JNB7ZCHOVVHGUUIOGOQQF7O2JP \
  | 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: 4b43fc88eead4e6a510e33a102fdda4bf7c159433128c27307b387b97d896d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e088100271f43b20359150daff3d18ac97a2cf1f3ae4c9bd0b18b5862ffdd2a4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-03T10:38:38Z",
    "title_canon_sha256": "df2810fe3d095bfae05186522d75d095474755c0ccc974f0699fc894473afb1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02728",
    "kind": "arxiv",
    "version": 1
  }
}