Pith Number

pith:A226KBGR

pith:2017:A226KBGRWTMDF5MFPNHJIDSJ3A

not attested not anchored not stored refs pending

On the equivalence between SOR-type methods for linear systems and discrete gradient methods for gradient systems

Shao-Liang Zhang, Tomohiro Sogabe, Yuto Miyatake

arxiv:1711.02277 v1 · 2017-11-07 · 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{A226KBGRWTMDF5MFPNHJIDSJ3A}

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	2026-05-18T00:12:14.101419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b5e504d1b4d832f5857b4e940e49d801251cc57107793eca34cda09e676b7e

Aliases

arxiv: 1711.02277 · arxiv_version: 1711.02277v1 · doi: 10.48550/arxiv.1711.02277 · pith_short_12: A226KBGRWTMD · pith_short_16: A226KBGRWTMDF5MF · pith_short_8: A226KBGR

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/A226KBGRWTMDF5MFPNHJIDSJ3A \
  | 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: 06b5e504d1b4d832f5857b4e940e49d801251cc57107793eca34cda09e676b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41ecb0133466ab21041543bf6be1f5f27dcfe76811b5a9f24634fc90aee2a81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-11-07T04:17:30Z",
    "title_canon_sha256": "dbb29f45e53fdef83023206627f2a996adeedb41d5d7421deb46015de5b080fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02277",
    "kind": "arxiv",
    "version": 1
  }
}