Pith Number

pith:HRU7GWMI

pith:2018:HRU7GWMIJOCXUHMOIHIXKVRMHU

not attested not anchored not stored refs pending

Perturbation bounds for eigenspaces under a relative gap condition

Martin Wahl, Moritz Jirak

arxiv:1803.03868 v4 · 2018-03-10 · math.PR · 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{HRU7GWMIJOCXUHMOIHIXKVRMHU}

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	2026-05-17T23:58:14.523993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c69f359884b857a1d8e41d175562c3d2681255b995f3ae8494151444bbd8bb1

Aliases

arxiv: 1803.03868 · arxiv_version: 1803.03868v4 · doi: 10.48550/arxiv.1803.03868 · pith_short_12: HRU7GWMIJOCX · pith_short_16: HRU7GWMIJOCXUHMO · pith_short_8: HRU7GWMI

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/HRU7GWMIJOCXUHMOIHIXKVRMHU \
  | 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: 3c69f359884b857a1d8e41d175562c3d2681255b995f3ae8494151444bbd8bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b039247012d28840be63994033b730d2f24a45c8a6cc97bd1bfcec3c0096f2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-10T22:41:35Z",
    "title_canon_sha256": "d0201262440a357d3256f6702cd256f4d5900af6914d189f5dd5de890163c74d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03868",
    "kind": "arxiv",
    "version": 4
  }
}