Pith Number

pith:ZKNBE4JQ

pith:2013:ZKNBE4JQKR5K2SG25HGEGJ7HLQ

not attested not anchored not stored refs pending

A theorem on measures in dimension 2 and applications to vortex sheets

Marta Szumanska, Tomasz Cieslak

arxiv:1310.2666 v1 · 2013-10-10 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKNBE4JQKR5K2SG25HGEGJ7HLQ}

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	2026-05-18T03:10:47.002664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca9a127130547aad48dae9cc4327e75c2f74a069e2fe3c1545b9b379498fb7cd

Aliases

arxiv: 1310.2666 · arxiv_version: 1310.2666v1 · doi: 10.48550/arxiv.1310.2666 · pith_short_12: ZKNBE4JQKR5K · pith_short_16: ZKNBE4JQKR5K2SG2 · pith_short_8: ZKNBE4JQ

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/ZKNBE4JQKR5K2SG25HGEGJ7HLQ \
  | 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: ca9a127130547aad48dae9cc4327e75c2f74a069e2fe3c1545b9b379498fb7cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9f5324e31a26af10bebc56953e927c90407e6cb371e14cd18323bda30913d63",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-10T00:10:49Z",
    "title_canon_sha256": "2af4ff3d2035d4367cee5c1252871d395bf267ac512c3c379d79d0db09cf5bbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2666",
    "kind": "arxiv",
    "version": 1
  }
}