Pith Number

pith:ORBO655Y

pith:2014:ORBO655Y4JGU3O2GU24YEZGS2Q

not attested not anchored not stored refs pending

Spectral Theory on Commutative Krein C*-algebras

Paolo Bertozzini, Pichkitti Bannangkoon, Wicharn Lewkeeratiyutkul

arxiv:1409.1329 v1 · 2014-09-04 · math.OA · 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{ORBO655Y4JGU3O2GU24YEZGS2Q}

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	2026-05-18T02:43:27.220420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7442ef77b8e24d4dbb46a6b98264d2d4078ab25d43c5fa8b71b162355fed8642

Aliases

arxiv: 1409.1329 · arxiv_version: 1409.1329v1 · doi: 10.48550/arxiv.1409.1329 · pith_short_12: ORBO655Y4JGU · pith_short_16: ORBO655Y4JGU3O2G · pith_short_8: ORBO655Y

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/ORBO655Y4JGU3O2GU24YEZGS2Q \
  | 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: 7442ef77b8e24d4dbb46a6b98264d2d4078ab25d43c5fa8b71b162355fed8642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be00bb1415d5860a855fae668b43e22f54aed1376c3d7b2896ef86069af0d23b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-09-04T06:11:45Z",
    "title_canon_sha256": "00956a60d26383757fb483b0d60f4be619b61e9b47090918dab7c00ae3668f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1329",
    "kind": "arxiv",
    "version": 1
  }
}