Pith Number

pith:LRVL7NE3

pith:2012:LRVL7NE3KNY2FT43XU3XKVYOZ2

not attested not anchored not stored refs pending

On the Usefulness of Predicates

Johan H{\aa}stad, Per Austrin

arxiv:1204.5662 v1 · 2012-04-25 · 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{LRVL7NE3KNY2FT43XU3XKVYOZ2}

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	2026-05-18T03:57:01.727172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c6abfb49b5371a2cf9bbd3775570ece82a8c5e7bcfe0b8eccc259d3a8d58841

Aliases

arxiv: 1204.5662 · arxiv_version: 1204.5662v1 · doi: 10.48550/arxiv.1204.5662 · pith_short_12: LRVL7NE3KNY2 · pith_short_16: LRVL7NE3KNY2FT43 · pith_short_8: LRVL7NE3

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/LRVL7NE3KNY2FT43XU3XKVYOZ2 \
  | 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: 5c6abfb49b5371a2cf9bbd3775570ece82a8c5e7bcfe0b8eccc259d3a8d58841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c87f8d80abff0dbe27b1b8ab2939593739566f267fcf9a7545fa66b68d5e8f1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-04-25T14:12:06Z",
    "title_canon_sha256": "3416471a798888e840ec198766b6762c518c27e67d4d441fe0381bb9bb7c0a52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5662",
    "kind": "arxiv",
    "version": 1
  }
}