Pith Number

pith:EI4AZDKJ

pith:2021:EI4AZDKJHZXH5RNAPV4XVWAOGN

not attested not anchored not stored refs pending

Improved Sample Complexity Bounds for Branch-and-Cut

Ellen Vitercik, Maria-Florina Balcan, Siddharth Prasad, Tuomas Sandholm

arxiv:2111.11207 v2 · 2021-11-18 · cs.LG · cs.AI · cs.DS · 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{EI4AZDKJHZXH5RNAPV4XVWAOGN}

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

1 paper in Pith

Sample Complexity of Stochastic Optimization with Integer Variables

Receipt and verification

First computed	2026-07-05T04:22:39.405019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22380c8d493e6e7ec5a07d797ad80e336531e736799d12e2f06c33243be3a9ad

Aliases

arxiv: 2111.11207 · arxiv_version: 2111.11207v2 · doi: 10.48550/arxiv.2111.11207 · pith_short_12: EI4AZDKJHZXH · pith_short_16: EI4AZDKJHZXH5RNA · pith_short_8: EI4AZDKJ

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/EI4AZDKJHZXH5RNAPV4XVWAOGN \
  | 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: 22380c8d493e6e7ec5a07d797ad80e336531e736799d12e2f06c33243be3a9ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd939eb59f696df1dfa97e160ce1e9c45b8ebf870b7f78ae3c0471dfddba59bf",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DS",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-11-18T04:07:29Z",
    "title_canon_sha256": "4326b302d1e815c2af9c7c868ead73b4f3eb8856f61d518bc6abd31a0167426c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11207",
    "kind": "arxiv",
    "version": 2
  }
}