Pith Number

pith:PHMWHJTE

pith:2017:PHMWHJTEM7UQ3R32M7X2Q666ZR

not attested not anchored not stored refs pending

Eigenvalues of compactly perturbed operators via entropy numbers

Marcel Hansmann

arxiv:1710.01633 v2 · 2017-10-04 · 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{PHMWHJTEM7UQ3R32M7X2Q666ZR}

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	2026-05-18T00:25:07.458714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d963a66467e90dc77a67efa87bdecc470ee70c907fbde96fb86c2ab7518bee

Aliases

arxiv: 1710.01633 · arxiv_version: 1710.01633v2 · doi: 10.48550/arxiv.1710.01633 · pith_short_12: PHMWHJTEM7UQ · pith_short_16: PHMWHJTEM7UQ3R32 · pith_short_8: PHMWHJTE

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/PHMWHJTEM7UQ3R32M7X2Q666ZR \
  | 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: 79d963a66467e90dc77a67efa87bdecc470ee70c907fbde96fb86c2ab7518bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8719a57e46c9da54c6be1fa51ec4926447863bfabda3297d2a3f8c204ad28367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-10-04T14:45:28Z",
    "title_canon_sha256": "4f511a4c9b56113bfb5ad00bff6c4832eb72cf652358a382218da7339401787f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01633",
    "kind": "arxiv",
    "version": 2
  }
}