Pith Number

pith:5KDBU5ZO

pith:2021:5KDBU5ZOBJURNU6LO7STQMAXR2

not attested not anchored not stored refs pending

Inverse Optimization: Theory and Applications

Ian Yihang Zhu, Rafid Mahmood, Timothy C.Y. Chan

arxiv:2109.03920 v2 · 2021-09-08 · 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{5KDBU5ZOBJURNU6LO7STQMAXR2}

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	2026-07-05T04:43:57.617809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea861a772e0a6916d3cb77e53830178ebaf0e7b0d53808e585bfe22aa21547d0

Aliases

arxiv: 2109.03920 · arxiv_version: 2109.03920v2 · doi: 10.48550/arxiv.2109.03920 · pith_short_12: 5KDBU5ZOBJUR · pith_short_16: 5KDBU5ZOBJURNU6L · pith_short_8: 5KDBU5ZO

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/5KDBU5ZOBJURNU6LO7STQMAXR2 \
  | 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: ea861a772e0a6916d3cb77e53830178ebaf0e7b0d53808e585bfe22aa21547d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d96e6ad32b1c97fe2ffa2ce5f5f1634a1228b30caee2c26e47894421b88a219b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-08T20:43:27Z",
    "title_canon_sha256": "2f86f5033fc476856a67aa973d947f4e9f6e1a6f999b43eaae3ab8ea865882d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03920",
    "kind": "arxiv",
    "version": 2
  }
}