Pith Number

pith:O5HPHO2I

pith:2007:O5HPHO2ITPDPBSDIUVTUAXZJPZ

not attested not anchored not stored refs pending

Non commutative functional calculus: unbounded operators

D.C. Struppa, F. Colombo, G. Gentili, I. Sabadini

arxiv:0708.3592 v2 · 2007-08-27 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5HPHO2ITPDPBSDIUVTUAXZJPZ}

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	2026-05-18T02:16:22.006116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

774ef3bb489bc6f0c868a567405f297e692c61befae6b80fed79d5798743b475

Aliases

arxiv: 0708.3592 · arxiv_version: 0708.3592v2 · doi: 10.48550/arxiv.0708.3592 · pith_short_12: O5HPHO2ITPDP · pith_short_16: O5HPHO2ITPDPBSDI · pith_short_8: O5HPHO2I

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/O5HPHO2ITPDPBSDIUVTUAXZJPZ \
  | 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: 774ef3bb489bc6f0c868a567405f297e692c61befae6b80fed79d5798743b475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f02344741302d952a4a0a7a964522b695553fdd9ea8ac77d26da7904e639d8b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-08-27T12:58:02Z",
    "title_canon_sha256": "1ab8ba581a25847e84bba6ca504a8e08e62eccb816006f62f99f13fd2fd7827c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3592",
    "kind": "arxiv",
    "version": 2
  }
}