Pith Number

pith:MTXGVKF4

pith:2012:MTXGVKF4ZKRQR4MT3XHOK5JSWL

not attested not anchored not stored refs pending

The inexact projected gradient method for quasiconvex vector optimization problems

G. Bouza Allende, G. C. Bento, J. Y. Bello Cruz, R. F. B. Costa

arxiv:1212.1048 v2 · 2012-12-05 · 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{MTXGVKF4ZKRQR4MT3XHOK5JSWL}

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	2026-05-18T03:05:54.884124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ee6aa8bccaa308f193ddcee57532b2d6d1388ffa5f356a8fe85ac970434ed5

Aliases

arxiv: 1212.1048 · arxiv_version: 1212.1048v2 · doi: 10.48550/arxiv.1212.1048 · pith_short_12: MTXGVKF4ZKRQ · pith_short_16: MTXGVKF4ZKRQR4MT · pith_short_8: MTXGVKF4

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/MTXGVKF4ZKRQR4MT3XHOK5JSWL \
  | 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: 64ee6aa8bccaa308f193ddcee57532b2d6d1388ffa5f356a8fe85ac970434ed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292180654b9e03f479e42d7ef15ca5c9faaa57faed19e3ef1d0d78f21215d4da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-05T15:20:43Z",
    "title_canon_sha256": "c73a723e28a6f27b5e1d2363a4038394b864adffc0bf83331d132443e5d09a7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1048",
    "kind": "arxiv",
    "version": 2
  }
}