Pith Number

pith:RT2BOIZZ

pith:2017:RT2BOIZZT5ZUO7WYOPVP3NAVTH

not attested not anchored not stored refs pending

The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups

Alessandro Sisto, Federico Franceschini, Maria Beatrice Pozzetti, Roberto Frigerio

arxiv:1703.03752 v1 · 2017-03-10 · 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{RT2BOIZZT5ZUO7WYOPVP3NAVTH}

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	2026-05-18T00:48:55.874614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cf41723399f73477ed873eafdb41599dc57b6e2d1f50b9fc647dfb3de6fc498

Aliases

arxiv: 1703.03752 · arxiv_version: 1703.03752v1 · doi: 10.48550/arxiv.1703.03752 · pith_short_12: RT2BOIZZT5ZU · pith_short_16: RT2BOIZZT5ZUO7WY · pith_short_8: RT2BOIZZ

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/RT2BOIZZT5ZUO7WYOPVP3NAVTH \
  | 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: 8cf41723399f73477ed873eafdb41599dc57b6e2d1f50b9fc647dfb3de6fc498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b74e8792a9ce43190c4148bbc2e40ede0b056ad43443794f5e91d5b5180ff1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-10T16:35:32Z",
    "title_canon_sha256": "3dd519d6e2c341dbe55ec9b7f97023f73d0b9e34454f24cb96fc6cb7c982cf8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03752",
    "kind": "arxiv",
    "version": 1
  }
}