Pith Number

pith:U6MFNTVF

pith:2023:U6MFNTVFPJZF7UX6WXICQPPLID

not attested not anchored not stored refs pending

An algebraic criterion for the vanishing of bounded cohomology

Caterina Campagnolo, Francesco Fournier-Facio, Marco Moraschini, Yash Lodha

arxiv:2311.16259 v5 · 2023-11-27 · math.GR · math.AT · 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{U6MFNTVFPJZF7UX6WXICQPPLID}

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	2026-06-03T14:05:15.177651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a79856cea57a725fd2feb5d0283deb40def42303ff758778be096b14e1e1a648

Aliases

arxiv: 2311.16259 · arxiv_version: 2311.16259v5 · doi: 10.48550/arxiv.2311.16259 · pith_short_12: U6MFNTVFPJZF · pith_short_16: U6MFNTVFPJZF7UX6 · pith_short_8: U6MFNTVF

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/U6MFNTVFPJZF7UX6WXICQPPLID \
  | 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: a79856cea57a725fd2feb5d0283deb40def42303ff758778be096b14e1e1a648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41196d1b7a998706ad639f5c74564d8745136a430b6e71bc314dcfda652ced2",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-11-27T19:07:23Z",
    "title_canon_sha256": "064f93b6364c87be360bbee203645b9c426516fc23fd898d65dfcbfedba8f89d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.16259",
    "kind": "arxiv",
    "version": 5
  }
}