Pith Number

pith:QS2ZA6KN

pith:2015:QS2ZA6KNQWPZW4P25ZLFN2NI2Q

not attested not anchored not stored refs pending

Decentralized gradient algorithm for solution of a linear equation

A. Stephen Morse, Brian D. O. Anderson, Shaoshuai Mou, Uwe Helmke

arxiv:1509.04538 v1 · 2015-09-15 · cs.SY · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QS2ZA6KNQWPZW4P25ZLFN2NI2Q}

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	2026-05-18T01:32:58.621794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b590794d859f9b71faee5656e9a8d420e837da622ad7b676dcb9dd0a59791a

Aliases

arxiv: 1509.04538 · arxiv_version: 1509.04538v1 · doi: 10.48550/arxiv.1509.04538 · pith_short_12: QS2ZA6KNQWPZ · pith_short_16: QS2ZA6KNQWPZW4P2 · pith_short_8: QS2ZA6KN

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/QS2ZA6KNQWPZW4P25ZLFN2NI2Q \
  | 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: 84b590794d859f9b71faee5656e9a8d420e837da622ad7b676dcb9dd0a59791a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a1c15af3ec56b1f794b8e59d9e25780842cff85f6b113c99bbd0103bdab88f",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-09-15T13:24:57Z",
    "title_canon_sha256": "528f9ef703a212aa74159e0d6c3d7214c21e1d281808b7d94153f22e5958656c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04538",
    "kind": "arxiv",
    "version": 1
  }
}