Pith Number

pith:FQXFNCFE

pith:2012:FQXFNCFECN6FW4TRIYUGUMJGY5

not attested not anchored not stored refs pending

A new proof for the Banach-Zarecki theorem: A light on integrability and continuity

Ali Mahdipour-Shirayeh, Homayoon Eshraghi

arxiv:1206.2602 v1 · 2012-06-12 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQXFNCFECN6FW4TRIYUGUMJGY5}

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	2026-05-18T03:53:44.074650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c2e5688a4137c5b727146286a3126c7549a1b475f43b994ec6787f5d5f09415

Aliases

arxiv: 1206.2602 · arxiv_version: 1206.2602v1 · doi: 10.48550/arxiv.1206.2602 · pith_short_12: FQXFNCFECN6F · pith_short_16: FQXFNCFECN6FW4TR · pith_short_8: FQXFNCFE

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/FQXFNCFECN6FW4TRIYUGUMJGY5 \
  | 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: 2c2e5688a4137c5b727146286a3126c7549a1b475f43b994ec6787f5d5f09415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc698dd068d3aff035749e21d9b59c3b3e1eb62414b6642d1f5641b8db6bee7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-12T17:36:41Z",
    "title_canon_sha256": "ee9fd16289cd11f7ca5ab3a2e96e14bdbd4726bdce0155bb47c9fd7975ccd8da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2602",
    "kind": "arxiv",
    "version": 1
  }
}