Pith Number

pith:XDHZRIAK

pith:2016:XDHZRIAKF5JSG4OFBQK2WYPQAN

not attested not anchored not stored refs pending

Bounded cohomology of discrete groups

Roberto Frigerio

arxiv:1610.08339 v2 · 2016-10-26 · math.AT · 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{XDHZRIAKF5JSG4OFBQK2WYPQAN}

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	2026-05-18T01:00:18.849883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8cf98a00a2f532371c50c15ab61f003538cf4bd805dfc0b9a574e807568da1d

Aliases

arxiv: 1610.08339 · arxiv_version: 1610.08339v2 · doi: 10.48550/arxiv.1610.08339 · pith_short_12: XDHZRIAKF5JS · pith_short_16: XDHZRIAKF5JSG4OF · pith_short_8: XDHZRIAK

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/XDHZRIAKF5JSG4OFBQK2WYPQAN \
  | 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: b8cf98a00a2f532371c50c15ab61f003538cf4bd805dfc0b9a574e807568da1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17055ab9c1f095c39267d1b392f15fbd1704756584a39b9c7ecdc02da04108d8",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-10-26T14:09:56Z",
    "title_canon_sha256": "2f13ff3cc54b8f4c90871dd27d19691d587c745a0e535b8ff2b0fb7e7103059f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08339",
    "kind": "arxiv",
    "version": 2
  }
}