Pith Number

pith:L47XCUBA

pith:2018:L47XCUBA4BKZ5IWP5HANOKGXIP

not attested not anchored not stored refs pending

Chernoff Like Counterexamples Related to Unbounded Operators

Mohammed Hichem Mortad, Souheyb Dehimi

arxiv:1808.09523 v2 · 2018-08-28 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L47XCUBA4BKZ5IWP5HANOKGXIP}

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	2026-05-18T00:06:50.365906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3f715020e0559ea2cfe9c0d728d743d4669fdded613d619ff746805b7bdbaa

Aliases

arxiv: 1808.09523 · arxiv_version: 1808.09523v2 · doi: 10.48550/arxiv.1808.09523 · pith_short_12: L47XCUBA4BKZ · pith_short_16: L47XCUBA4BKZ5IWP · pith_short_8: L47XCUBA

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/L47XCUBA4BKZ5IWP5HANOKGXIP \
  | 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: 5f3f715020e0559ea2cfe9c0d728d743d4669fdded613d619ff746805b7bdbaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0f2c5b2255ab7706cf3f7491011b60a303c9cdfc381708a3150f820ba87de7",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-28T20:14:54Z",
    "title_canon_sha256": "7b6e51e0b8919b53a8d24ab2400cc08f5d09acf4a6b287d3c8a41276f5c78270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09523",
    "kind": "arxiv",
    "version": 2
  }
}