Pith Number

pith:UV4AXA4F

pith:2024:UV4AXA4FPCPB2CID4JAZ34CGNJ

not attested not anchored not stored refs pending

Automated Discovery of Branching Rules with Optimal Complexity for the Maximum Independent Set Problem

Jin-Guo Liu, Pan Zhang, Xuan-Zhao Gao, Yi-Jia Wang

arxiv:2412.07685 v1 · 2024-12-10 · math.OC · cs.DS · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UV4AXA4FPCPB2CID4JAZ34CGNJ}

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

Programming guide for solving constraint satisfaction problems with tensor networks

Receipt and verification

First computed	2026-07-05T09:47:13.706372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5780b8385789e1d0903e2419df0466a471e1e512c4211adcddf914cb9db2892

Aliases

arxiv: 2412.07685 · arxiv_version: 2412.07685v1 · doi: 10.48550/arxiv.2412.07685 · pith_short_12: UV4AXA4FPCPB · pith_short_16: UV4AXA4FPCPB2CID · pith_short_8: UV4AXA4F

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/UV4AXA4FPCPB2CID4JAZ34CGNJ \
  | 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: a5780b8385789e1d0903e2419df0466a471e1e512c4211adcddf914cb9db2892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df24721478585261021ae1fce3d64aeb98eddb76ff1efaef76486f1caf4c5fa9",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-10T17:20:19Z",
    "title_canon_sha256": "79cd080e442442ffdfe94a178712b97f7abd184a4543743bdddfc1daccb06086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07685",
    "kind": "arxiv",
    "version": 1
  }
}