Pith Number

pith:WF3FU5ZR

pith:2013:WF3FU5ZRAZK75A2DEEAYTYSDOJ

not attested not anchored not stored refs pending

Some notes on applying computational divided differencing in optimization

Stephen Vavasis

arxiv:1307.4097 v1 · 2013-07-15 · math.OC · cs.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{WF3FU5ZRAZK75A2DEEAYTYSDOJ}

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	2026-05-18T03:18:19.680394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1765a77310655fe8343210189e2437279a3e404f2939ec47a520833d87992ca

Aliases

arxiv: 1307.4097 · arxiv_version: 1307.4097v1 · doi: 10.48550/arxiv.1307.4097 · pith_short_12: WF3FU5ZRAZK7 · pith_short_16: WF3FU5ZRAZK75A2D · pith_short_8: WF3FU5ZR

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/WF3FU5ZRAZK75A2DEEAYTYSDOJ \
  | 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: b1765a77310655fe8343210189e2437279a3e404f2939ec47a520833d87992ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02d150fe41d30716013376a2c926c12195b9220ea6b1f3db18c1309201c0863",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-15T20:21:43Z",
    "title_canon_sha256": "62c3a94589385f1c15a66c22732d525c0b14a7bc93e0fea8de6f023fbd6f2c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4097",
    "kind": "arxiv",
    "version": 1
  }
}