Pith Number

pith:XGATHKYY

pith:2016:XGATHKYY666GY2LE2HVGC7L2RC

not attested not anchored not stored refs pending

Amenability of coarse spaces and K-algebras

Fernando Lled\'o, Jianchao Wu, Kang Li, Pere Ara

arxiv:1607.00328 v3 · 2016-07-01 · math.RA · 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{XGATHKYY666GY2LE2HVGC7L2RC}

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	2026-05-18T00:08:48.789134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98133ab18f7bc6c6964d1ea617d7a88998e6d1af2cb824495a06e7c7d964a5b

Aliases

arxiv: 1607.00328 · arxiv_version: 1607.00328v3 · doi: 10.48550/arxiv.1607.00328 · pith_short_12: XGATHKYY666G · pith_short_16: XGATHKYY666GY2LE · pith_short_8: XGATHKYY

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/XGATHKYY666GY2LE2HVGC7L2RC \
  | 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: b98133ab18f7bc6c6964d1ea617d7a88998e6d1af2cb824495a06e7c7d964a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b25a1d3a431a3223d378b0db790213520c6ffd9359c8d63bd392a7043126eb6",
    "cross_cats_sorted": [
      "math.MG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-07-01T17:44:33Z",
    "title_canon_sha256": "2e9a68d0af8af53894ae427de4fe841c1d274c2b333e2bd3451210dbf38d9c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00328",
    "kind": "arxiv",
    "version": 3
  }
}