Pith Number

pith:VPS6KBD4

pith:2011:VPS6KBD4LMQT5B2F72MNAKTSWF

not attested not anchored not stored refs pending

Multi-objective integer programming: An improved recursive algorithm

Benjamin A. Burton, Cameron A. G. MacRae, Melih Ozlen

arxiv:1104.5324 v2 · 2011-04-28 · 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{VPS6KBD4LMQT5B2F72MNAKTSWF}

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	2026-05-18T02:55:48.777031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe5e5047c5b213e8745fe98d02a72b155ea3a280f90ee1fcb786de2b049ce22

Aliases

arxiv: 1104.5324 · arxiv_version: 1104.5324v2 · doi: 10.48550/arxiv.1104.5324 · pith_short_12: VPS6KBD4LMQT · pith_short_16: VPS6KBD4LMQT5B2F · pith_short_8: VPS6KBD4

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/VPS6KBD4LMQT5B2F72MNAKTSWF \
  | 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: abe5e5047c5b213e8745fe98d02a72b155ea3a280f90ee1fcb786de2b049ce22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78bdc060e52b46a5d634dc9aa7967e6aaad401838dabca0281f487b3499f7ee0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-04-28T08:15:41Z",
    "title_canon_sha256": "0f44c8e31784ea492d0b8c9f870edb31708d597056da4ed4e2b6074937bc67ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5324",
    "kind": "arxiv",
    "version": 2
  }
}