Pith Number

pith:AXKYEAZ6

pith:2009:AXKYEAZ663OC5J6OVYK33XVH2D

not attested not anchored not stored refs pending

(Non-)amenability of B(E)

Volker Runde

arxiv:0909.2628 v4 · 2009-09-14 · math.FA · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXKYEAZ663OC5J6OVYK33XVH2D}

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	2026-05-18T04:26:31.989357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d582033ef6dc2ea7ceae15bddea7d0d42214cb9cad59f0acc49c93d741d8f5

Aliases

arxiv: 0909.2628 · arxiv_version: 0909.2628v4 · doi: 10.48550/arxiv.0909.2628 · pith_short_12: AXKYEAZ663OC · pith_short_16: AXKYEAZ663OC5J6O · pith_short_8: AXKYEAZ6

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/AXKYEAZ663OC5J6OVYK33XVH2D \
  | 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: 05d582033ef6dc2ea7ceae15bddea7d0d42214cb9cad59f0acc49c93d741d8f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22e02ba6cc9ff994d842547149c6f4550177496157e0e8ff6a353c8ee012410",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-09-14T19:18:54Z",
    "title_canon_sha256": "8070cc36419f87bcc8b8f5f555a65f116029a90b92015f307ca3606564d765b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2628",
    "kind": "arxiv",
    "version": 4
  }
}