Pith Number

pith:YYQ4XVCU

pith:2015:YYQ4XVCUD4CU52Y6J325TUYYIW

not attested not anchored not stored refs pending

Krylov-subspace recycling via the POD-augmented conjugate-gradient method

Kevin Carlberg, Ray Tuminaro, Virginia Forstall

arxiv:1512.05820 v2 · 2015-12-17 · 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{YYQ4XVCUD4CU52Y6J325TUYYIW}

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	2026-05-18T01:22:13.916035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c621cbd4541f054eeb1e4ef5d9d318459d1dadfe1684971c140acd27d783e831

Aliases

arxiv: 1512.05820 · arxiv_version: 1512.05820v2 · doi: 10.48550/arxiv.1512.05820 · pith_short_12: YYQ4XVCUD4CU · pith_short_16: YYQ4XVCUD4CU52Y6 · pith_short_8: YYQ4XVCU

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/YYQ4XVCUD4CU52Y6J325TUYYIW \
  | 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: c621cbd4541f054eeb1e4ef5d9d318459d1dadfe1684971c140acd27d783e831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f01c7c9170bfde0810552e7b8593207ba9d40f5ff4ef2ce87896810b52e659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-17T22:44:15Z",
    "title_canon_sha256": "4575087393daf74ee2d831a912a19157b0a23aedcbc40704799ffb72664430cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05820",
    "kind": "arxiv",
    "version": 2
  }
}