Pith Number

pith:MM3E4HZ4

pith:2011:MM3E4HZ4I3B4RELXM4C57IMKHI

not attested not anchored not stored refs pending

An introduction to ML(n)BiCGStab

Man-Chung Yeung

arxiv:1106.3678 v1 · 2011-06-18 · math.NA · cs.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MM3E4HZ4I3B4RELXM4C57IMKHI}

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	2026-05-18T04:19:42.392552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63364e1f3c46c3c891776705dfa18a3a073b79845da6e0f8cb5b844232c65768

Aliases

arxiv: 1106.3678 · arxiv_version: 1106.3678v1 · doi: 10.48550/arxiv.1106.3678 · pith_short_12: MM3E4HZ4I3B4 · pith_short_16: MM3E4HZ4I3B4RELX · pith_short_8: MM3E4HZ4

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/MM3E4HZ4I3B4RELXM4C57IMKHI \
  | 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: 63364e1f3c46c3c891776705dfa18a3a073b79845da6e0f8cb5b844232c65768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8082c828a19e44a5b14d4db8524e1995af47c80820f0fd244f68fadb9d862637",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-06-18T18:58:44Z",
    "title_canon_sha256": "22e03ddd9b0c883f77a2af85b3a2bc0060f9e945f17ca962503d497f847cd968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3678",
    "kind": "arxiv",
    "version": 1
  }
}