Pith Number

pith:PHG6NZSS

pith:2021:PHG6NZSSFTOEFG3EWUXLH7QR2M

not attested not anchored not stored refs pending

Globally Convergent Coderivative-Based Generalized Newton Methods in Nonsmooth Optimization

Boris Mordukhovich, Dat Ba Tran, Pham Duy Khanh, Vo Thanh Phat

arxiv:2109.02093 v3 · 2021-09-05 · 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{PHG6NZSSFTOEFG3EWUXLH7QR2M}

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	2026-07-05T06:04:32.282761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79cde6e6522cdc429b64b52eb3fe11d32909b9c0dc9ff8e42752e4cf31de196c

Aliases

arxiv: 2109.02093 · arxiv_version: 2109.02093v3 · doi: 10.48550/arxiv.2109.02093 · pith_short_12: PHG6NZSSFTOE · pith_short_16: PHG6NZSSFTOEFG3E · pith_short_8: PHG6NZSS

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/PHG6NZSSFTOEFG3EWUXLH7QR2M \
  | 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: 79cde6e6522cdc429b64b52eb3fe11d32909b9c0dc9ff8e42752e4cf31de196c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ea27fb36ca077a7a8127cf4c8651fa89d0802d471fa1ba502e4f4004928bec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-05T15:03:33Z",
    "title_canon_sha256": "e1055c9ba809c7a2d343d6bf060469f3cf9e9b89198727bbf953539fbe0985d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02093",
    "kind": "arxiv",
    "version": 3
  }
}