Pith Number

pith:M4BCJFUS

pith:2019:M4BCJFUS4OM4TISVYERYR4XKYG

not attested not anchored not stored refs pending

A Nonseparable Invariant Extension of Lebesgue Measure -- A Generalized and Abstract Approach

Debashish Sen, Sanjib Basu

arxiv:1908.08277 v3 · 2019-08-22 · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4BCJFUS4OM4TISVYERYR4XKYG}

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	2026-07-05T00:37:28.348740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6702249692e399c9a255c12388f2eac1a64fb6426bdefc74ceda0cf0bcf3ef34

Aliases

arxiv: 1908.08277 · arxiv_version: 1908.08277v3 · doi: 10.48550/arxiv.1908.08277 · pith_short_12: M4BCJFUS4OM4 · pith_short_16: M4BCJFUS4OM4TISV · pith_short_8: M4BCJFUS

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/M4BCJFUS4OM4TISVYERYR4XKYG \
  | 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: 6702249692e399c9a255c12388f2eac1a64fb6426bdefc74ceda0cf0bcf3ef34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e7d297fa7e2c79507f7fcd51a1f5602e7e828a71f249955ca33d0d7ce97c7d",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-22T09:31:05Z",
    "title_canon_sha256": "3e9d9c0c216591d49344d1d836466f1336326fb76a53ae7ffe57437e1ada58d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08277",
    "kind": "arxiv",
    "version": 3
  }
}