Pith Number

pith:OZWJ4D5K

pith:2008:OZWJ4D5KQA47SY7QA6PJQV4CZY

not attested not anchored not stored refs pending

Bounded Underapproximations

Benjamin Monmege, Pierre Ganty, Rupak Majumdar

arxiv:0809.1236 v4 · 2008-09-07 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZWJ4D5KQA47SY7QA6PJQV4CZY}

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	2026-05-18T03:52:12.834057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

766c9e0faa8039f963f0079e985782ce27943ccb137f058f06feb5dd7979a9b5

Aliases

arxiv: 0809.1236 · arxiv_version: 0809.1236v4 · doi: 10.48550/arxiv.0809.1236 · pith_short_12: OZWJ4D5KQA47 · pith_short_16: OZWJ4D5KQA47SY7Q · pith_short_8: OZWJ4D5K

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/OZWJ4D5KQA47SY7QA6PJQV4CZY \
  | 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: 766c9e0faa8039f963f0079e985782ce27943ccb137f058f06feb5dd7979a9b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cadd94ab5896941fbe38de2adb624d6f054cd1b254ad6c0f4ad8f4b1548452a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2008-09-07T22:21:33Z",
    "title_canon_sha256": "e11da596c8d58d6e8fad341ee3c6672bddc83ea442e24ebefa0ae1461eee5061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1236",
    "kind": "arxiv",
    "version": 4
  }
}