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Pith Number

pith:TA2345XE

pith:2011:TA2345XER2MZDXJIW6SFYHKXAE
not attested not anchored not stored refs pending

On Partial Opimality by Auxiliary Submodular Problems

Alexander Shekhovtsov, Vaclav Hlavac

arxiv:1109.1149 v1 · 2011-09-06 · cs.DM · cs.CV · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TA2345XER2MZDXJIW6SFYHKXAE}

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 2026-05-18T04:14:05.255111Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9835be76e48e9991dd28b7a45c1d570120f2ecffff1cc404267dda5f90853b79

Aliases

arxiv: 1109.1149 · arxiv_version: 1109.1149v1 · doi: 10.48550/arxiv.1109.1149 · pith_short_12: TA2345XER2MZ · pith_short_16: TA2345XER2MZDXJI · pith_short_8: TA2345XE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TA2345XER2MZDXJIW6SFYHKXAE \
  | 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: 9835be76e48e9991dd28b7a45c1d570120f2ecffff1cc404267dda5f90853b79
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "729afdddc7f22763dbbbf0ed3ace2881317f609299bd846e15ce4e909445194e",
    "cross_cats_sorted": [
      "cs.CV",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-09-06T11:33:38Z",
    "title_canon_sha256": "f3752dd8b3f7194c008b8d30c16aa136f2ba14666b11be9d7892cd9165d8d22c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1149",
    "kind": "arxiv",
    "version": 1
  }
}