Pith Number

pith:VTHBOPDJ

pith:2012:VTHBOPDJJNAPJLGSVMPWUTQSAT

not attested not anchored not stored refs pending

Exact Relaxation for Classes of Minimization Problems with Binary Constraints

Martin Burger, Michael Hinterm\"uller, Yiqiu Dong

arxiv:1210.7507 v1 · 2012-10-28 · math.OC · math.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{VTHBOPDJJNAPJLGSVMPWUTQSAT}

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	2026-05-18T03:42:09.733983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acce173c694b40f4acd2ab1f6a4e1204d2051a3bd261252e5d5662d23b6c9bdd

Aliases

arxiv: 1210.7507 · arxiv_version: 1210.7507v1 · doi: 10.48550/arxiv.1210.7507 · pith_short_12: VTHBOPDJJNAP · pith_short_16: VTHBOPDJJNAPJLGS · pith_short_8: VTHBOPDJ

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/VTHBOPDJJNAPJLGSVMPWUTQSAT \
  | 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: acce173c694b40f4acd2ab1f6a4e1204d2051a3bd261252e5d5662d23b6c9bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5011ef882340d71d565af4d8ee4c83ad196eeed1d724417b350e19da0488f1c1",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-28T20:37:34Z",
    "title_canon_sha256": "1a133e2f19b310d3e96f302839e1fd339c5c28fe014f6feddede34c02ffe91bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7507",
    "kind": "arxiv",
    "version": 1
  }
}