Pith Number

pith:EIX3P3KM

pith:2012:EIX3P3KM3N26YGAB5AQFRFCD55

not attested not anchored not stored refs pending

On the condition number and perturbation of matrix functions for Hermitian matrices

Elias Jarlebring, Emanuel H. Rubensson

arxiv:1206.1762 v2 · 2012-06-08 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIX3P3KM3N26YGAB5AQFRFCD55}

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	2026-05-18T03:53:16.920088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

222fb7ed4cdb75ec1801e820589443ef546d162b3e191f0551a20604c03fc99f

Aliases

arxiv: 1206.1762 · arxiv_version: 1206.1762v2 · doi: 10.48550/arxiv.1206.1762 · pith_short_12: EIX3P3KM3N26 · pith_short_16: EIX3P3KM3N26YGAB · pith_short_8: EIX3P3KM

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/EIX3P3KM3N26YGAB5AQFRFCD55 \
  | 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: 222fb7ed4cdb75ec1801e820589443ef546d162b3e191f0551a20604c03fc99f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f875ec8ee54d5f0bec16445a54634bcdede51737b5e9073e3e3569694b5ca60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-06-08T14:05:03Z",
    "title_canon_sha256": "3dfc49fb56d7fbf723a7573f37bfef3c0ea7dbf267af0be6090cbc9786a526e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1762",
    "kind": "arxiv",
    "version": 2
  }
}