Pith Number

pith:32WU67M3

pith:2012:32WU67M3HALBMVI2JZVV7RXXXE

not attested not anchored not stored refs pending

Faster Algorithms for Alternating Refinement Relations

Krishnendu Chatterjee, Pritish Kamath, Siddhesh Chaubal

arxiv:1201.4449 v2 · 2012-01-21 · 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{32WU67M3HALBMVI2JZVV7RXXXE}

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	2026-05-18T03:52:54.697839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dead4f7d9b381616551a4e6b5fc6f7b91fdec0442486c8467ae4f81004ef3da2

Aliases

arxiv: 1201.4449 · arxiv_version: 1201.4449v2 · doi: 10.48550/arxiv.1201.4449 · pith_short_12: 32WU67M3HALB · pith_short_16: 32WU67M3HALBMVI2 · pith_short_8: 32WU67M3

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/32WU67M3HALBMVI2JZVV7RXXXE \
  | 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: dead4f7d9b381616551a4e6b5fc6f7b91fdec0442486c8467ae4f81004ef3da2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf3cb12b87f1f4edf24dec79d8c98739164f7f32e2b9c5857f1a0c7aa94986a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-01-21T08:30:11Z",
    "title_canon_sha256": "ca3b743a7188c53798992ea949d9f948be0dae132163fac668d9cff83789e434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4449",
    "kind": "arxiv",
    "version": 2
  }
}