Pith Number

pith:W7S2QVQG

pith:2012:W7S2QVQG4EA5W64XA3JDRMLRJW

not attested not anchored not stored refs pending

Cauchy independent measures and super-additivity of analytic capacity

Alexander Reznikov, Alexander Volberg

arxiv:1211.2675 v1 · 2012-11-12 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7S2QVQG4EA5W64XA3JDRMLRJW}

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	2026-05-18T03:41:02.108063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7e5a85606e101db7b9706d238b1714db742fa7be381de431959a447dabf1bb0

Aliases

arxiv: 1211.2675 · arxiv_version: 1211.2675v1 · doi: 10.48550/arxiv.1211.2675 · pith_short_12: W7S2QVQG4EA5 · pith_short_16: W7S2QVQG4EA5W64X · pith_short_8: W7S2QVQG

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/W7S2QVQG4EA5W64XA3JDRMLRJW \
  | 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: b7e5a85606e101db7b9706d238b1714db742fa7be381de431959a447dabf1bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710026b1c30fd2f784b4f95765308dfbc7a07eee9ed408455bbfa58069258673",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-12T16:06:48Z",
    "title_canon_sha256": "bbf9fd94514e4669daf9d38f806f07120e760f25fe08f673f243ccc917ce4a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2675",
    "kind": "arxiv",
    "version": 1
  }
}