Pith Number

pith:FN633W4W

pith:2012:FN633W4WTFPW26IO4LVRJ2UHHV

not attested not anchored not stored refs pending

On Finding Optimal Polytrees

Mathieu Liedloff, Mikko Koivisto, Sebastian Ordyniak, Serge Gaspers, Stefan Szeider

arxiv:1208.1692 v2 · 2012-08-08 · cs.DS · cs.AI · 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{FN633W4WTFPW26IO4LVRJ2UHHV}

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	2026-05-18T03:48:45.964859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b7dbddb96995f6d790ee2eb14ea873d78478acbb73f2b89d36e7f7248039c21

Aliases

arxiv: 1208.1692 · arxiv_version: 1208.1692v2 · doi: 10.48550/arxiv.1208.1692 · pith_short_12: FN633W4WTFPW · pith_short_16: FN633W4WTFPW26IO · pith_short_8: FN633W4W

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/FN633W4WTFPW26IO4LVRJ2UHHV \
  | 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: 2b7dbddb96995f6d790ee2eb14ea873d78478acbb73f2b89d36e7f7248039c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8863eae01fc824885d688f79b59838214ba4e83474486fbe9f553c7a5795cd6c",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-08-08T15:32:42Z",
    "title_canon_sha256": "dcddc8c1c2bf9e0b772d9fd5c597414c9c4812f7f7bed1e2c285f99bde7fb158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1692",
    "kind": "arxiv",
    "version": 2
  }
}