Pith Number

pith:WQXMSE4L

pith:2012:WQXMSE4LDUDDQ5ZMZKYJVIKVZ2

not attested not anchored not stored refs pending

Approximability and proof complexity

Ryan O'Donnell, Yuan Zhou

arxiv:1211.1958 v1 · 2012-11-08 · 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{WQXMSE4LDUDDQ5ZMZKYJVIKVZ2}

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	2026-05-18T03:41:13.154910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42ec9138b1d0638772ccab09aa155cea7038b96d0134d51af24cb58908cdfcc

Aliases

arxiv: 1211.1958 · arxiv_version: 1211.1958v1 · doi: 10.48550/arxiv.1211.1958 · pith_short_12: WQXMSE4LDUDD · pith_short_16: WQXMSE4LDUDDQ5ZM · pith_short_8: WQXMSE4L

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/WQXMSE4LDUDDQ5ZMZKYJVIKVZ2 \
  | 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: b42ec9138b1d0638772ccab09aa155cea7038b96d0134d51af24cb58908cdfcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa53479605142bed4bfbda104b730e19a05da8a41b042fe12e5c054dbdbc296",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-11-08T19:59:30Z",
    "title_canon_sha256": "fd4ded2d8c6810171df9c5c4a18411af66161ef9e44e915a325403d1c32c200f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1958",
    "kind": "arxiv",
    "version": 1
  }
}