Pith Number

pith:CYIVNDBS

pith:2013:CYIVNDBS3A3GI623OTXOPRQVFV

not attested not anchored not stored refs pending

A Posteriori Error Estimates of Krylov Subspace Approximations to Matrix Functions

Hui Lv, Zhongxiao Jia

arxiv:1307.7219 v2 · 2013-07-27 · 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{CYIVNDBS3A3GI623OTXOPRQVFV}

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	2026-05-18T02:05:24.661295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1611568c32d836647b5b74eee7c6152d5cde2d29e3cdb43035bfdea2cc5b5251

Aliases

arxiv: 1307.7219 · arxiv_version: 1307.7219v2 · doi: 10.48550/arxiv.1307.7219 · pith_short_12: CYIVNDBS3A3G · pith_short_16: CYIVNDBS3A3GI623 · pith_short_8: CYIVNDBS

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/CYIVNDBS3A3GI623OTXOPRQVFV \
  | 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: 1611568c32d836647b5b74eee7c6152d5cde2d29e3cdb43035bfdea2cc5b5251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76bdc8b4ece09a0ebb708461e9bf90ae2095f4493622cb7a64cec6810d47bc6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-07-27T06:18:29Z",
    "title_canon_sha256": "faa71acd1a80a701ccf968832a4f5c523ea18382c972ff3924a4a2b41edf6704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7219",
    "kind": "arxiv",
    "version": 2
  }
}