Pith Number

pith:JHMCOIJZ

pith:2010:JHMCOIJZC6DVKEBUQ4ABYCB2DZ

not attested not anchored not stored refs pending

Multi-Objective Geometric Programming Problem Being Cost Coefficients as Continous Function with Weighted Mean Method

A.K. Das, A. K. Ojha

arxiv:1002.4002 v1 · 2010-02-21 · cs.DS · cs.NA · math.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{JHMCOIJZC6DVKEBUQ4ABYCB2DZ}

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	2026-06-03T23:06:33.947560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d8272139178755103487001c083a1e489839f68c1432d02bce65b5685e9aba

Aliases

arxiv: 1002.4002 · arxiv_version: 1002.4002v1 · doi: 10.48550/arxiv.1002.4002 · pith_short_12: JHMCOIJZC6DV · pith_short_16: JHMCOIJZC6DVKEBU · pith_short_8: JHMCOIJZ

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/JHMCOIJZC6DVKEBUQ4ABYCB2DZ \
  | 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: 49d8272139178755103487001c083a1e489839f68c1432d02bce65b5685e9aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2c9c4d82910cf3637d1f95b962dfe4c68205483b627d32f908a39c9a48c28a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-02-21T19:36:55Z",
    "title_canon_sha256": "74bed5e3df1b8d500566a5dbfc29711e7250f9d7a9575578797c0e44f5ca469a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4002",
    "kind": "arxiv",
    "version": 1
  }
}