Pith Number

pith:4WQOLTGE

pith:2019:4WQOLTGEE26WBHKOBKAQLLI24P

not attested not anchored not stored refs pending

Homogenisation and the Weak Operator Topology

Marcus Waurick

arxiv:1901.06670 v1 · 2019-01-20 · math.AP · math-ph · math.FA · math.GN · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WQOLTGEE26WBHKOBKAQLLI24P}

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	2026-05-17T23:55:49.493841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a0e5ccc426bd609d4e0a8105ad1ae3d7b001aa386a12d2b4ac4f7971c01c45

Aliases

arxiv: 1901.06670 · arxiv_version: 1901.06670v1 · doi: 10.48550/arxiv.1901.06670 · pith_short_12: 4WQOLTGEE26W · pith_short_16: 4WQOLTGEE26WBHKO · pith_short_8: 4WQOLTGE

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/4WQOLTGEE26WBHKOBKAQLLI24P \
  | 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: e5a0e5ccc426bd609d4e0a8105ad1ae3d7b001aa386a12d2b4ac4f7971c01c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fe8f550e98a9149312782267a1a51ab6dc734d4d54555d75a55476b4119e6ef",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.GN",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-20T12:34:25Z",
    "title_canon_sha256": "eb49f32eecf2d6af444f44f1eaeaaa894baeeb204b7697076ea4e9fcb5162edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06670",
    "kind": "arxiv",
    "version": 1
  }
}