Pith Number

pith:N2OPH34M

pith:2010:N2OPH34MZGRN3RM5ILSAPDYBTX

not attested not anchored not stored refs pending

Geometric Programming Problem with Co-Efficients and Exponents Associated with Binary Numbers

A. K. Das, A. K. Ojha

arxiv:1002.1167 v1 · 2010-02-05 · cs.NA · cs.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{N2OPH34MZGRN3RM5ILSAPDYBTX}

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	2026-06-03T23:06:33.396895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e9cf3ef8cc9a2ddc59d42e4078f019df6ff9b9802af6b81e6ab2d3addbf8f02

Aliases

arxiv: 1002.1167 · arxiv_version: 1002.1167v1 · doi: 10.48550/arxiv.1002.1167 · pith_short_12: N2OPH34MZGRN · pith_short_16: N2OPH34MZGRN3RM5 · pith_short_8: N2OPH34M

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/N2OPH34MZGRN3RM5ILSAPDYBTX \
  | 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: 6e9cf3ef8cc9a2ddc59d42e4078f019df6ff9b9802af6b81e6ab2d3addbf8f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f00c68c18666873d9d92a34a8d8025da5a34d693f0046fbed42a362afecdd9e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2010-02-05T09:29:23Z",
    "title_canon_sha256": "f0cab745565327d706c623592d224b89dda5a11811c1fb2d65c1a9b3c5432870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1167",
    "kind": "arxiv",
    "version": 1
  }
}