Pith Number

pith:B7WS5M7L

pith:2025:B7WS5M7LDSZKLS3LTOEV6JTHCT

not attested not anchored not stored refs pending

On Lebesgue points and measurability with Choquet integrals

Petteri Harjulehto, Ritva Hurri-Syrj\"anen

arxiv:2502.03267 v2 · 2025-02-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7WS5M7LDSZKLS3LTOEV6JTHCT}

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	2026-07-05T10:26:13.531251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fed2eb3eb1cb2a5cb6b9b895f266714d4724c03acbf669a0ccae408782508a7

Aliases

arxiv: 2502.03267 · arxiv_version: 2502.03267v2 · doi: 10.48550/arxiv.2502.03267 · pith_short_12: B7WS5M7LDSZK · pith_short_16: B7WS5M7LDSZKLS3L · pith_short_8: B7WS5M7L

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/B7WS5M7LDSZKLS3LTOEV6JTHCT \
  | 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: 0fed2eb3eb1cb2a5cb6b9b895f266714d4724c03acbf669a0ccae408782508a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f54165977ff5375162d646eb4c239f13d80b317ce27586124c94effe9763e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-02-05T15:22:24Z",
    "title_canon_sha256": "800273b798958a17a0bf50bac88350d2acbb5ffe9b2c2e0b64d1b140af49b6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03267",
    "kind": "arxiv",
    "version": 2
  }
}