Pith Number

pith:VZYQ7XXS

pith:2012:VZYQ7XXSBAVWBC3O5F2DYKYOWD

not attested not anchored not stored refs pending

On Approximating Graph Bipartization via Node Deletion

Bhaskar DasGupta, Lakshmi Kaligounder

arxiv:1211.6724 v2 · 2012-11-28 · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZYQ7XXSBAVWBC3O5F2DYKYOWD}

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	2026-05-18T03:39:41.182349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae710fdef2082b608b6ee9743c2b0eb0dcec9028ca9d6c405c434496a9052131

Aliases

arxiv: 1211.6724 · arxiv_version: 1211.6724v2 · doi: 10.48550/arxiv.1211.6724 · pith_short_12: VZYQ7XXSBAVW · pith_short_16: VZYQ7XXSBAVWBC3O · pith_short_8: VZYQ7XXS

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/VZYQ7XXSBAVWBC3O5F2DYKYOWD \
  | 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: ae710fdef2082b608b6ee9743c2b0eb0dcec9028ca9d6c405c434496a9052131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b79a7a7bfffdd8307a8d0fd46800ee6273ba1951827ee853877a97e730c827a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-11-28T20:05:10Z",
    "title_canon_sha256": "c4d63aaaf44abf2572e30c99a755c95e74fba1451998db95b644b0fefcfc35fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6724",
    "kind": "arxiv",
    "version": 2
  }
}