Pith Number

pith:OUHI6BPB

pith:2010:OUHI6BPBFKQR5FNUAR57XB7KBN

not attested not anchored not stored refs pending

A cohomological characterisation of Yu's Property A for metric spaces

G. A. Niblo, J. Brodzki, N. J. Wright

arxiv:1002.5040 v2 · 2010-02-26 · math.GT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUHI6BPBFKQR5FNUAR57XB7KBN}

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	2026-05-18T02:38:18.592452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750e8f05e12aa11e95b4047bfb87ea0b72b68a8ddb23b7010df2806205d21e7e

Aliases

arxiv: 1002.5040 · arxiv_version: 1002.5040v2 · doi: 10.48550/arxiv.1002.5040 · pith_short_12: OUHI6BPBFKQR · pith_short_16: OUHI6BPBFKQR5FNU · pith_short_8: OUHI6BPB

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/OUHI6BPBFKQR5FNUAR57XB7KBN \
  | 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: 750e8f05e12aa11e95b4047bfb87ea0b72b68a8ddb23b7010df2806205d21e7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b8ff3db6cea39a445f4e8852d400b32c98783240b3feef3638b87c49849073c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-26T19:02:01Z",
    "title_canon_sha256": "19597fc59be4c1e61fb08484175d674ff826fc0436b824a55163befa0f2201ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.5040",
    "kind": "arxiv",
    "version": 2
  }
}