Pith Number

pith:AI5RY7DJ

pith:2012:AI5RY7DJENYFMC7G3IYNPHWN3Y

not attested not anchored not stored refs pending

Spaces of Graphs, Boundary Groupoids and the Coarse Baum-Connes Conjecture

Martin Finn-Sell, Nick Wright

arxiv:1208.4237 v2 · 2012-08-21 · math.KT · math.GR · math.GT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AI5RY7DJENYFMC7G3IYNPHWN3Y}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:47:13.341452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023b1c7c692370560be6da30d79ecdde1680c8b9488b7e332cd7eb34d2761a37

Aliases

arxiv: 1208.4237 · arxiv_version: 1208.4237v2 · doi: 10.48550/arxiv.1208.4237 · pith_short_12: AI5RY7DJENYF · pith_short_16: AI5RY7DJENYFMC7G · pith_short_8: AI5RY7DJ

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/AI5RY7DJENYFMC7G3IYNPHWN3Y \
  | 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: 023b1c7c692370560be6da30d79ecdde1680c8b9488b7e332cd7eb34d2761a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea00466187ec4fb21edbb0d392536d06520bbf86c988a215c851b4f92060879",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-08-21T11:05:59Z",
    "title_canon_sha256": "f0aa4150801904f23326061ec41bbf9b61bc2d2d96855824061a54f487586112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4237",
    "kind": "arxiv",
    "version": 2
  }
}