Pith Number

pith:ZNJY3Y3N

pith:2017:ZNJY3Y3NWKAY3NOP4BA6IH4TCD

not attested not anchored not stored refs pending

Coarse quotients by group actions and the maximal Roe algebra

Logan Higginbotham, Thomas Weighill

arxiv:1708.01199 v6 · 2017-08-03 · math.GT · math.MG · 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{ZNJY3Y3NWKAY3NOP4BA6IH4TCD}

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	2026-05-18T00:33:43.304541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb538de36db2818db5cfe041e41f9310e77045fc7346c91e6d31ea7f6b270d56

Aliases

arxiv: 1708.01199 · arxiv_version: 1708.01199v6 · doi: 10.48550/arxiv.1708.01199 · pith_short_12: ZNJY3Y3NWKAY · pith_short_16: ZNJY3Y3NWKAY3NOP · pith_short_8: ZNJY3Y3N

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/ZNJY3Y3NWKAY3NOP4BA6IH4TCD \
  | 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: cb538de36db2818db5cfe041e41f9310e77045fc7346c91e6d31ea7f6b270d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd3241f69f9ed963125f6026d4ddbaae81ffcdb4765beac38ee536464234b23",
    "cross_cats_sorted": [
      "math.MG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-03T16:28:39Z",
    "title_canon_sha256": "b89bde5910ef4727ceac02f674b2d75e6668309f528e1a29fa38d0325bda18a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01199",
    "kind": "arxiv",
    "version": 6
  }
}