Pith Number

pith:4YUTYXZF

pith:2005:4YUTYXZFGYPPA5ZDREQBPWMOXP

not attested not anchored not stored refs pending

On Algorithms and Complexity for Sets with Cardinality Constraints

Bruno Marnette, Martin Rinard, Viktor Kuncak

arxiv:cs/0508123 v1 · 2005-08-28 · cs.PL · cs.LO · cs.SE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YUTYXZFGYPPA5ZDREQBPWMOXP}

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	2026-05-18T03:33:48.348739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6293c5f25361ef07723892017d98ebbc1c9ce1ca36dbd79a9d5dd927215c67d

Aliases

arxiv: cs/0508123 · arxiv_version: cs/0508123v1 · doi: 10.48550/arxiv.cs/0508123 · pith_short_12: 4YUTYXZFGYPP · pith_short_16: 4YUTYXZFGYPPA5ZD · pith_short_8: 4YUTYXZF

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/4YUTYXZFGYPPA5ZDREQBPWMOXP \
  | 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: e6293c5f25361ef07723892017d98ebbc1c9ce1ca36dbd79a9d5dd927215c67d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16347124d432635eeffd3ba88d78a510ebf69e452765b5af53c65736ca1a72d9",
    "cross_cats_sorted": [
      "cs.LO",
      "cs.SE"
    ],
    "license": "",
    "primary_cat": "cs.PL",
    "submitted_at": "2005-08-28T22:25:22Z",
    "title_canon_sha256": "851225d9db97082a837a371557b14cc06aaaf86ead7948dc54f1d91492efadf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0508123",
    "kind": "arxiv",
    "version": 1
  }
}