Pith Number

pith:ZA2TLPR6

pith:2010:ZA2TLPR6DFIU6XPHZ2TSZKKYWY

not attested not anchored not stored refs pending

Cross-Composition: A New Technique for Kernelization Lower Bounds

Bart M. P. Jansen, Hans L. Bodlaender, Stefan Kratsch

arxiv:1011.4224 v2 · 2010-11-18 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZA2TLPR6DFIU6XPHZ2TSZKKYWY}

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	2026-05-18T02:23:36.297995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83535be3e19514f5de7cea72ca958b616cdfd49ba22ffe3a0bb09efc0ad44af

Aliases

arxiv: 1011.4224 · arxiv_version: 1011.4224v2 · doi: 10.48550/arxiv.1011.4224 · pith_short_12: ZA2TLPR6DFIU · pith_short_16: ZA2TLPR6DFIU6XPH · pith_short_8: ZA2TLPR6

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/ZA2TLPR6DFIU6XPHZ2TSZKKYWY \
  | 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: c83535be3e19514f5de7cea72ca958b616cdfd49ba22ffe3a0bb09efc0ad44af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e3e196d94af97f868c8b0c61aa2c5f3df854c61ac209038894a0832a409bca6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-11-18T16:30:44Z",
    "title_canon_sha256": "d0a4dea0953c34bd96d26a346247ba16935271d83da0e8fd4331eb4c736b46be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4224",
    "kind": "arxiv",
    "version": 2
  }
}