Pith Number

pith:IMTIZERU

pith:2024:IMTIZERU4WH6WDBP7CIYUPLXDO

not attested not anchored not stored refs pending

Bounded cohomology of groups acting on trees with almost prescribed local actions

Elena Bogliolo, Giuseppe Bargagnati

arxiv:2412.15463 v2 · 2024-12-19 · math.GR · 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{IMTIZERU4WH6WDBP7CIYUPLXDO}

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	2026-07-05T09:55:15.269822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43268c9234e58feb0c2ff8918a3d771ba49a6c3da83e21579d67664c6fbc6b0a

Aliases

arxiv: 2412.15463 · arxiv_version: 2412.15463v2 · doi: 10.48550/arxiv.2412.15463 · pith_short_12: IMTIZERU4WH6 · pith_short_16: IMTIZERU4WH6WDBP · pith_short_8: IMTIZERU

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/IMTIZERU4WH6WDBP7CIYUPLXDO \
  | 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: 43268c9234e58feb0c2ff8918a3d771ba49a6c3da83e21579d67664c6fbc6b0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df623e77b6b1be8a21ff2776ced7ce479f6a75aa1465d48152ef11c7b5f1931e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-12-19T23:44:58Z",
    "title_canon_sha256": "76b6e23b9851e0828558e4853407a59604422c1304de2c502741ff0d037dc7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15463",
    "kind": "arxiv",
    "version": 2
  }
}