Pith Number

pith:VMQZI7DF

pith:2017:VMQZI7DF3GUZYP4MAPCUCDUAWT

not attested not anchored not stored refs pending

On Lagrange multipliers in convex entropy minimization

Constantin Zalinescu

arxiv:1708.08302 v1 · 2017-08-28 · 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{VMQZI7DF3GUZYP4MAPCUCDUAWT}

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	2026-05-18T00:36:36.417716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab21947c65d9a99c3f8c03c5410e80b4d8909fbc26d96f8165ae2c06fc8253e9

Aliases

arxiv: 1708.08302 · arxiv_version: 1708.08302v1 · doi: 10.48550/arxiv.1708.08302 · pith_short_12: VMQZI7DF3GUZ · pith_short_16: VMQZI7DF3GUZYP4M · pith_short_8: VMQZI7DF

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/VMQZI7DF3GUZYP4MAPCUCDUAWT \
  | 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: ab21947c65d9a99c3f8c03c5410e80b4d8909fbc26d96f8165ae2c06fc8253e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bde9cb018173284f4aaff3172b7895befbe01d117ca0f0fd65f022a05d84ff6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-28T13:11:32Z",
    "title_canon_sha256": "608ad4ca56b4aa1dd5525d28d926d88e3dc2161a6e688080d1b5bf4ebfa460b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08302",
    "kind": "arxiv",
    "version": 1
  }
}