Pith Number

pith:ZZ72N2TY

pith:2013:ZZ72N2TYRGTF2NHIAVCRCVLMPI

not attested not anchored not stored refs pending

A Utility Theory Based Interactive Approach to Robustness in Linear Optimization

Levent Tuncel, Mehdi Karimi, Somayeh Moazeni

arxiv:1312.4489 v3 · 2013-12-16 · 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{ZZ72N2TYRGTF2NHIAVCRCVLMPI}

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	2026-05-18T00:15:42.997674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7fa6ea7889a65d34e8054511556c7a22ad4613c66c04feb4632889f90a83ca

Aliases

arxiv: 1312.4489 · arxiv_version: 1312.4489v3 · doi: 10.48550/arxiv.1312.4489 · pith_short_12: ZZ72N2TYRGTF · pith_short_16: ZZ72N2TYRGTF2NHI · pith_short_8: ZZ72N2TY

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/ZZ72N2TYRGTF2NHIAVCRCVLMPI \
  | 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: ce7fa6ea7889a65d34e8054511556c7a22ad4613c66c04feb4632889f90a83ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64adea01a9cdbb8629c8e3588d0bad0b977a155970bbc8e2cced8223acc0bade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-16T19:57:47Z",
    "title_canon_sha256": "188bbedb06fcb21b749878785216cfb264c7f65a90649b4f717369cf3cb5aa34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4489",
    "kind": "arxiv",
    "version": 3
  }
}