Pith Number

pith:5IEKF3ZQ

pith:2016:5IEKF3ZQTB73HAA6SGDFWARVYU

not attested not anchored not stored refs pending

Absolutely minimum attaining closed operators

G. Ramesh, S.H. Kulkarni

arxiv:1606.05736 v4 · 2016-06-18 · math.FA · math.OA · 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{5IEKF3ZQTB73HAA6SGDFWARVYU}

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	2026-05-17T23:49:06.508504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea08a2ef30987fb3801e91865b0235c535b6e0c5627581230e9ca2da079acfbb

Aliases

arxiv: 1606.05736 · arxiv_version: 1606.05736v4 · doi: 10.48550/arxiv.1606.05736 · pith_short_12: 5IEKF3ZQTB73 · pith_short_16: 5IEKF3ZQTB73HAA6 · pith_short_8: 5IEKF3ZQ

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/5IEKF3ZQTB73HAA6SGDFWARVYU \
  | 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: ea08a2ef30987fb3801e91865b0235c535b6e0c5627581230e9ca2da079acfbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8413c4a3cfe3d1b5e991831cbdb238db866c97058b4fd24160518a0ef86bbd96",
    "cross_cats_sorted": [
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-18T10:11:53Z",
    "title_canon_sha256": "5286d1d44350233e04e569c1fadf998988c6a1fb7acfdffa128ea19cecd49ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05736",
    "kind": "arxiv",
    "version": 4
  }
}