Pith Number

pith:Z3FQS43M

pith:2017:Z3FQS43MNJNNIUXK5SNJNY74G5

not attested not anchored not stored refs pending

Stability and instability in saddle point dynamics Part II: The subgradient method

Ioannis Lestas, Thomas Holding

arxiv:1707.07351 v2 · 2017-07-23 · math.OC · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3FQS43MNJNNIUXK5SNJNY74G5}

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	2026-06-04T18:11:11.178001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cecb09736c6a5ad452eaec9a96e3fc376b3e4696ba8b9aa971e84d77fd1e2ccd

Aliases

arxiv: 1707.07351 · arxiv_version: 1707.07351v2 · doi: 10.48550/arxiv.1707.07351 · pith_short_12: Z3FQS43MNJNN · pith_short_16: Z3FQS43MNJNNIUXK · pith_short_8: Z3FQS43M

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/Z3FQS43MNJNNIUXK5SNJNY74G5 \
  | 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: cecb09736c6a5ad452eaec9a96e3fc376b3e4696ba8b9aa971e84d77fd1e2ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b27b1c3ee7e72beadd5bfdbe4e97645794b79393c58d30f36630507d9ea713",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-07-23T21:27:20Z",
    "title_canon_sha256": "21bee1af7a58a3e61c886ea9da0c81c9689e2e4ae493bba3f5929246a67fb41d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07351",
    "kind": "arxiv",
    "version": 2
  }
}