Pith Number

pith:RNX364WS

pith:2012:RNX364WSODIH5BGKHEAMAYJSNK

not attested not anchored not stored refs pending

Norm attaining operators and pseudospectrum

Stanislav Shkarin

arxiv:1209.1218 v1 · 2012-09-06 · 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{RNX364WSODIH5BGKHEAMAYJSNK}

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	2026-05-18T03:46:06.192013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b6fbf72d270d07e84ca3900c061326a9bfeca98e646167aeb6fa12ccd8a96fd

Aliases

arxiv: 1209.1218 · arxiv_version: 1209.1218v1 · doi: 10.48550/arxiv.1209.1218 · pith_short_12: RNX364WSODIH · pith_short_16: RNX364WSODIH5BGK · pith_short_8: RNX364WS

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/RNX364WSODIH5BGKHEAMAYJSNK \
  | 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: 8b6fbf72d270d07e84ca3900c061326a9bfeca98e646167aeb6fa12ccd8a96fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "093dcf00a1808999770792d653fa7b216b2932bccddd2c7f451732bd71b441d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-06T08:19:03Z",
    "title_canon_sha256": "bfdb34d6344ad3b276d35f2d6fbff3d1ab3b39f2f1b3b663a97d793b3ecdb308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1218",
    "kind": "arxiv",
    "version": 1
  }
}