Pith Number

pith:NXQX4UYZ

pith:2018:NXQX4UYZNGQCRFOTPMA3OKNGIU

not attested not anchored not stored refs pending

On Absolutely Norm attaining Operators

D. Venku Naidu, G. Ramesh

arxiv:1801.02432 v1 · 2018-01-08 · 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{NXQX4UYZNGQCRFOTPMA3OKNGIU}

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	2026-05-18T00:26:31.632549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6de17e531969a02895d37b01b729a6453822e1b7d0054d30ecb17fefbfbd5ded

Aliases

arxiv: 1801.02432 · arxiv_version: 1801.02432v1 · doi: 10.48550/arxiv.1801.02432 · pith_short_12: NXQX4UYZNGQC · pith_short_16: NXQX4UYZNGQCRFOT · pith_short_8: NXQX4UYZ

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/NXQX4UYZNGQCRFOTPMA3OKNGIU \
  | 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: 6de17e531969a02895d37b01b729a6453822e1b7d0054d30ecb17fefbfbd5ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a307c8a8bf732b136a1cfc51aefadaa820cf0f8adab3e443c59561aa15208d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-01-08T14:12:33Z",
    "title_canon_sha256": "7e9c6d58aebdc25fc3eaccf4223b06a5379a44acbc26c9c7bb792fa0eb2b6a11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02432",
    "kind": "arxiv",
    "version": 1
  }
}