Pith Number

pith:PD7MAMS4

pith:2010:PD7MAMS4ZQLOW5APKRHTLDVVUG

not attested not anchored not stored refs pending

The McShane integral in weakly compactly generated spaces

Antonio Avil\'es, Grzegorz Plebanek, Jos\'e Rodr\'iguez

arxiv:1001.4896 v2 · 2010-01-27 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PD7MAMS4ZQLOW5APKRHTLDVVUG}

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	2026-05-18T02:48:55.239789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78fec0325ccc16eb740f544f358eb5a188e421cc9552f22ea58a16f3b292cd39

Aliases

arxiv: 1001.4896 · arxiv_version: 1001.4896v2 · doi: 10.48550/arxiv.1001.4896 · pith_short_12: PD7MAMS4ZQLO · pith_short_16: PD7MAMS4ZQLOW5AP · pith_short_8: PD7MAMS4

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/PD7MAMS4ZQLOW5APKRHTLDVVUG \
  | 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: 78fec0325ccc16eb740f544f358eb5a188e421cc9552f22ea58a16f3b292cd39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62a53d7b2f40f86562d7d3ab3425da0494342d1c276dd81b1509cf98ced73d93",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-27T10:27:52Z",
    "title_canon_sha256": "86a248f94f19e15fa2de8067bd3d10a7cc8670b921297e014d4efa77a6ee1dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4896",
    "kind": "arxiv",
    "version": 2
  }
}