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Pith Number

pith:Z247TXVX

pith:2024:Z247TXVX2JOJGBLJF5AVHXP3OB
not attested not anchored not stored refs pending

Neural Networks and (Virtual) Extended Formulations

Christoph Hertrich, Georg Loho

arxiv:2411.03006 v4 · 2024-11-05 · math.CO · cs.CC · cs.DM · cs.LG · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z247TXVX2JOJGBLJF5AVHXP3OB}

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.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-05-29T01:04:51.507861Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ceb9f9deb7d25c9305692f4153ddfb7055d3a88aab54718028628529321f5eff

Aliases

arxiv: 2411.03006 · arxiv_version: 2411.03006v4 · doi: 10.48550/arxiv.2411.03006 · pith_short_12: Z247TXVX2JOJ · pith_short_16: Z247TXVX2JOJGBLJ · pith_short_8: Z247TXVX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z247TXVX2JOJGBLJF5AVHXP3OB \
  | 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: ceb9f9deb7d25c9305692f4153ddfb7055d3a88aab54718028628529321f5eff
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1bc47038ed29ccc87482cd0ec6eb6a22b2af0a431a8786c9964db2368915d003",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-05T11:12:11Z",
    "title_canon_sha256": "c43c0e3614664d07961150ee261d36fb6d4234538ed229541da77eb4251d0839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.03006",
    "kind": "arxiv",
    "version": 4
  }
}