Pith Number

pith:Q2M3ZEVR

pith:2015:Q2M3ZEVRX3GCVVBK2I5VADY7JF

not attested not anchored not stored refs pending

On the identification of the global reference set in data envelopment analysis

Biresh K. Sahoo, Israfil Roshdi, Mahmood Mehdiloozad, S. Morteza Mirdehghan

arxiv:1503.09115 v1 · 2015-03-31 · 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{Q2M3ZEVRX3GCVVBK2I5VADY7JF}

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	2026-05-18T02:19:51.390706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8699bc92b1becc2ad42ad23b500f1f4945ea1035bfb3ab978cd6a1cdd0a7e3cb

Aliases

arxiv: 1503.09115 · arxiv_version: 1503.09115v1 · doi: 10.48550/arxiv.1503.09115 · pith_short_12: Q2M3ZEVRX3GC · pith_short_16: Q2M3ZEVRX3GCVVBK · pith_short_8: Q2M3ZEVR

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/Q2M3ZEVRX3GCVVBK2I5VADY7JF \
  | 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: 8699bc92b1becc2ad42ad23b500f1f4945ea1035bfb3ab978cd6a1cdd0a7e3cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3747fc24ad48600109fc1c44cd8d6ec91bbe9e1fbbef4d61945516a7308ac0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-31T16:28:26Z",
    "title_canon_sha256": "a655ba98c9f5a02c569ee3e10c9d8a657e8bb2e31bf05181c314d809dd628323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09115",
    "kind": "arxiv",
    "version": 1
  }
}