Pith Number

pith:RJIFWTFX

pith:2010:RJIFWTFXW6O42RWUEO7SH3ROG6

not attested not anchored not stored refs pending

Invariant expectations and vanishing of bounded cohomology for exact groups

Piotr W. Nowak, Ronald G. Douglas

arxiv:1001.0718 v5 · 2010-01-05 · math.FA · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJIFWTFXW6O42RWUEO7SH3ROG6}

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	2026-05-18T04:16:02.612488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a505b4cb7b79dcd46d423bf23ee2e3783251df56a0d81b2385fe5f8eb6adaf6

Aliases

arxiv: 1001.0718 · arxiv_version: 1001.0718v5 · doi: 10.48550/arxiv.1001.0718 · pith_short_12: RJIFWTFXW6O4 · pith_short_16: RJIFWTFXW6O42RWU · pith_short_8: RJIFWTFX

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/RJIFWTFXW6O42RWUEO7SH3ROG6 \
  | 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: 8a505b4cb7b79dcd46d423bf23ee2e3783251df56a0d81b2385fe5f8eb6adaf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84c8c993c71ec8f1c2456f9e836ada012d3d8839ca57e906afaa8d28105a65ad",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-05T15:20:17Z",
    "title_canon_sha256": "655e627f314e76decb4fc597bd1b952b656cdbe89649c830c3ab7b200b5960ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0718",
    "kind": "arxiv",
    "version": 5
  }
}