Pith Number

pith:VV5NQBJ4

pith:2009:VV5NQBJ4D5VN3UF3NHKU4QWW73

not attested not anchored not stored refs pending

Guarded Second-Order Logic, Spanning Trees, and Network Flows

Achim Blumensath

arxiv:0910.3085 v2 · 2009-10-16 · cs.LO · 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{VV5NQBJ4D5VN3UF3NHKU4QWW73}

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	2026-05-18T01:37:40.272801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad7ad8053c1f6addd0bb69d54e42d6fee637ab7e394dcbb680e06f16a662851d

Aliases

arxiv: 0910.3085 · arxiv_version: 0910.3085v2 · doi: 10.48550/arxiv.0910.3085 · pith_short_12: VV5NQBJ4D5VN · pith_short_16: VV5NQBJ4D5VN3UF3 · pith_short_8: VV5NQBJ4

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/VV5NQBJ4D5VN3UF3NHKU4QWW73 \
  | 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: ad7ad8053c1f6addd0bb69d54e42d6fee637ab7e394dcbb680e06f16a662851d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b31af039575c6930a0471778d57ebb8a083e181c1f805801938f81f65b43ebfa",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2009-10-16T11:32:13Z",
    "title_canon_sha256": "0129ab1c73991261715b1ca7b70c25e70b550494ae83f4f706d1162a1de5d6cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3085",
    "kind": "arxiv",
    "version": 2
  }
}