Pith Number

pith:IIDD5OBL

pith:2018:IIDD5OBLGEJUUONYKYHTWSMBOF

not attested not anchored not stored refs pending

On Orbit Reflexive Tuple of Operators And Weak Orbit Reflexivity

Abdelaziz Tajmouati, Youness Zahouan

arxiv:1812.07276 v1 · 2018-12-18 · math.FA · 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{IIDD5OBLGEJUUONYKYHTWSMBOF}

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	2026-05-17T23:58:00.986882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42063eb82b31134a39b8560f3b49817152ede565082b641d94ccd1304d97948a

Aliases

arxiv: 1812.07276 · arxiv_version: 1812.07276v1 · doi: 10.48550/arxiv.1812.07276 · pith_short_12: IIDD5OBLGEJU · pith_short_16: IIDD5OBLGEJUUONY · pith_short_8: IIDD5OBL

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/IIDD5OBLGEJUUONYKYHTWSMBOF \
  | 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: 42063eb82b31134a39b8560f3b49817152ede565082b641d94ccd1304d97948a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9909efcf20a753b99bfa8bfd9cd55ffbf8becb25192fefd88f8eb2498c5f4a3d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-18T10:22:18Z",
    "title_canon_sha256": "17a2bf0a1a60532ca84fcde1933a24cb95b531cf709291e46f1eb073364f368b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07276",
    "kind": "arxiv",
    "version": 1
  }
}