Pith Number

pith:HO4WRXLJ

pith:2014:HO4WRXLJRY36KDGCALPQW6EBBD

not attested not anchored not stored refs pending

Perturbation bounds on the extremal singular values of a matrix after appending a column

Sebastien Darses, Stephane Chretien

arxiv:1406.5441 v3 · 2014-06-20 · 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{HO4WRXLJRY36KDGCALPQW6EBBD}

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	2026-05-18T02:31:11.535665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bb968dd698e37e50cc202df0b788108e1637f8f1db862e8244fb340660b0b45

Aliases

arxiv: 1406.5441 · arxiv_version: 1406.5441v3 · doi: 10.48550/arxiv.1406.5441 · pith_short_12: HO4WRXLJRY36 · pith_short_16: HO4WRXLJRY36KDGC · pith_short_8: HO4WRXLJ

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/HO4WRXLJRY36KDGCALPQW6EBBD \
  | 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: 3bb968dd698e37e50cc202df0b788108e1637f8f1db862e8244fb340660b0b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4bc1045d9067eaddd1803af0a901b60b89bd56f13eaac0664dd6847c4d5f56c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-06-20T16:07:11Z",
    "title_canon_sha256": "428fe25c18ad29f240b0e09f9db840eba08b2194bfaa9318123a078cf1d11698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5441",
    "kind": "arxiv",
    "version": 3
  }
}