Pith Number

pith:N5L2YNSU

pith:2014:N5L2YNSUB7ZWJEHXYD5DAWWV4I

not attested not anchored not stored refs pending

Approximations of strongly continuous families of unbounded self-adjoint operators

Jonathan Ben-Artzi, Thomas Holding

arxiv:1403.3963 v3 · 2014-03-16 · math.SP · 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{N5L2YNSUB7ZWJEHXYD5DAWWV4I}

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	2026-05-18T01:19:35.482241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f57ac36540ff36490f7c0fa305ad5e21c43497711eff10963dda6e9d6422dc4

Aliases

arxiv: 1403.3963 · arxiv_version: 1403.3963v3 · doi: 10.48550/arxiv.1403.3963 · pith_short_12: N5L2YNSUB7ZW · pith_short_16: N5L2YNSUB7ZWJEHX · pith_short_8: N5L2YNSU

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/N5L2YNSUB7ZWJEHXYD5DAWWV4I \
  | 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: 6f57ac36540ff36490f7c0fa305ad5e21c43497711eff10963dda6e9d6422dc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3bc4c9579f81a3107a0ad2dfbd98443282f43b036f4bb54561f87842a5fddd7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-03-16T21:55:11Z",
    "title_canon_sha256": "f3bd9f17125c327d6088fd985eb7bce1695595c2d13a08631e28198154496937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3963",
    "kind": "arxiv",
    "version": 3
  }
}