Pith Number

pith:3TGSDAV5

pith:2022:3TGSDAV5BG7GCNHQX2BSBS2EOP

not attested not anchored not stored refs pending

Inexact reduced gradient methods in nonconvex optimization

Boris S. Mordukhovich, Dat Ba Tran, Pham Duy Khanh

arxiv:2204.01806 v2 · 2022-04-04 · 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{3TGSDAV5BG7GCNHQX2BSBS2EOP}

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	2026-07-05T05:29:26.873152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dccd2182bd09be6134f0be8320cb4473f35a3064148beaf0d41f9b3f0983e6ad

Aliases

arxiv: 2204.01806 · arxiv_version: 2204.01806v2 · doi: 10.48550/arxiv.2204.01806 · pith_short_12: 3TGSDAV5BG7G · pith_short_16: 3TGSDAV5BG7GCNHQ · pith_short_8: 3TGSDAV5

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/3TGSDAV5BG7GCNHQX2BSBS2EOP \
  | 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: dccd2182bd09be6134f0be8320cb4473f35a3064148beaf0d41f9b3f0983e6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91089bf5f612188706376e3aabffe46793478a0d6968191e1525cba3ab563b00",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-04-04T19:16:17Z",
    "title_canon_sha256": "b13cbc392c1056d568f3037d265aef45d1c4e93ec169821a3110aa7dc34b5a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01806",
    "kind": "arxiv",
    "version": 2
  }
}