Pith Number

pith:XDPPKHHN

pith:2015:XDPPKHHNHSC7WYSZ4J5H72JGOS

not attested not anchored not stored refs pending

Non-commutative Functional Calculus and Spectral Theory

Jim Agler, John E. McCarthy

arxiv:1504.07323 v1 · 2015-04-28 · 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{XDPPKHHNHSC7WYSZ4J5H72JGOS}

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	2026-05-18T02:17:35.185760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8def51ced3c85fb6259e27a7fe926749197d2c47d07c0fc37ce3985375c37a5

Aliases

arxiv: 1504.07323 · arxiv_version: 1504.07323v1 · doi: 10.48550/arxiv.1504.07323 · pith_short_12: XDPPKHHNHSC7 · pith_short_16: XDPPKHHNHSC7WYSZ · pith_short_8: XDPPKHHN

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/XDPPKHHNHSC7WYSZ4J5H72JGOS \
  | 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: b8def51ced3c85fb6259e27a7fe926749197d2c47d07c0fc37ce3985375c37a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2177c7530569325378b91f80a563a133986ff9ca738b63f053059967add0ee32",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-28T01:22:33Z",
    "title_canon_sha256": "1084dafe586cdb8390d18d31c864158b88c6166bde1b3ef09021654f3821edec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07323",
    "kind": "arxiv",
    "version": 1
  }
}