Pith Number

pith:EEI7BER3

pith:2011:EEI7BER3SWGB6W7WR4ZCBR72TR

not attested not anchored not stored refs pending

Maximal and reduced Roe algebras of coarsely embeddable spaces

Jan Spakula, Rufus Willett

arxiv:1110.1531 v1 · 2011-10-07 · math.KT · 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{EEI7BER3SWGB6W7WR4ZCBR72TR}

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	2026-05-18T04:11:29.832654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2111f0923b958c1f5bf68f3220c7fa9c56ad8c5e439b64c16e64d1863fb427c5

Aliases

arxiv: 1110.1531 · arxiv_version: 1110.1531v1 · doi: 10.48550/arxiv.1110.1531 · pith_short_12: EEI7BER3SWGB · pith_short_16: EEI7BER3SWGB6W7W · pith_short_8: EEI7BER3

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/EEI7BER3SWGB6W7WR4ZCBR72TR \
  | 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: 2111f0923b958c1f5bf68f3220c7fa9c56ad8c5e439b64c16e64d1863fb427c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3632352cc6326c962212148bbf743c1fdff3738236aa00b19a8a36e32ee3fbe0",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-10-07T13:56:32Z",
    "title_canon_sha256": "530f13ce079826beb028de92393d05acc2fb5659abaf4e03da7c4f77cba8076c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1531",
    "kind": "arxiv",
    "version": 1
  }
}