Pith Number

pith:4FMS5NWI

pith:2017:4FMS5NWIA3CBGADXTIVFKCYAAO

not attested not anchored not stored refs pending

A Characterization of Absolutely Minimum attaining Operators

D. Sukumar, G. Ramesh, J.Ganesh

arxiv:1711.01612 v1 · 2017-11-05 · math.SP · 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{4FMS5NWIA3CBGADXTIVFKCYAAO}

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	2026-05-18T00:31:17.306452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1592eb6c806c41300779a2a550b0003a02d2a8483a541c4e054f48c21941608

Aliases

arxiv: 1711.01612 · arxiv_version: 1711.01612v1 · doi: 10.48550/arxiv.1711.01612 · pith_short_12: 4FMS5NWIA3CB · pith_short_16: 4FMS5NWIA3CBGADX · pith_short_8: 4FMS5NWI

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/4FMS5NWIA3CBGADXTIVFKCYAAO \
  | 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: e1592eb6c806c41300779a2a550b0003a02d2a8483a541c4e054f48c21941608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ab8459739b5bccf53864c0cc06d00572289bbb62fa74d311c4aced8a939f64",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-05T16:35:10Z",
    "title_canon_sha256": "e826b7012b2020fe8a17a1f0fb6c5bd859164e3bb667b80f2a4127069c7311db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01612",
    "kind": "arxiv",
    "version": 1
  }
}