Pith Number

pith:B3UC6BYY

pith:2019:B3UC6BYYN43LGCMGE336CT6CSW

not attested not anchored not stored refs pending

On the Operator Equations $A^n=A^*A$

Mohammed Hichem Mortad, Souheyb Dehimi, Zsigmond Tarcsay

arxiv:1902.02193 v1 · 2019-02-06 · 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{B3UC6BYYN43LGCMGE336CT6CSW}

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	2026-05-17T23:54:37.652821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee82f07186f36b3098626f7e14fc295bf8b42774a68f27683df43c12df3d857

Aliases

arxiv: 1902.02193 · arxiv_version: 1902.02193v1 · doi: 10.48550/arxiv.1902.02193 · pith_short_12: B3UC6BYYN43L · pith_short_16: B3UC6BYYN43LGCMG · pith_short_8: B3UC6BYY

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/B3UC6BYYN43LGCMGE336CT6CSW \
  | 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: 0ee82f07186f36b3098626f7e14fc295bf8b42774a68f27683df43c12df3d857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca081045f01a31bc1131c1b9d8f5c9d62cc480fa44f372ea8875100443e46e4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-06T14:10:47Z",
    "title_canon_sha256": "5cacfbabd09f3d685ae81a0c6abab2fe25a737e5dfdf2768a0e0e07fb938eeac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02193",
    "kind": "arxiv",
    "version": 1
  }
}