Pith Number

pith:J3KIDF5W

pith:2012:J3KIDF5W637C5MNHTOLT2NG3TM

not attested not anchored not stored refs pending

Products of Unbounded Normal Operators

Mohammed Hichem Mortad

arxiv:1202.6143 v3 · 2012-02-28 · 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{J3KIDF5W637C5MNHTOLT2NG3TM}

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	2026-05-18T03:56:33.761149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed48197b6f6fe2eb1a79b973d34db9b3a843338f7a61855ebc7c108095c8a08

Aliases

arxiv: 1202.6143 · arxiv_version: 1202.6143v3 · doi: 10.48550/arxiv.1202.6143 · pith_short_12: J3KIDF5W637C · pith_short_16: J3KIDF5W637C5MNH · pith_short_8: J3KIDF5W

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/J3KIDF5W637C5MNHTOLT2NG3TM \
  | 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: 4ed48197b6f6fe2eb1a79b973d34db9b3a843338f7a61855ebc7c108095c8a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619e7abb7982cfaedb9f95f822788f5788b884225014ab595711a0b2231a723c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-28T08:04:41Z",
    "title_canon_sha256": "edfb839f01aaf2f07c2b6909b1c62175df6bb331bb8a3f55bd500f23e5a5650e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6143",
    "kind": "arxiv",
    "version": 3
  }
}