Pith Number

pith:YRZSVM2P

pith:2009:YRZSVM2P3SO723SSYSJCQNVRVA

not attested not anchored not stored refs pending

Refutation of Aslam's Proof that NP = P

Andrew Wood, Frank Ferraro, Garrett Hall

arxiv:0904.3912 v2 · 2009-04-24 · 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{YRZSVM2P3SO723SSYSJCQNVRVA}

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	2026-07-04T15:42:32.869743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4732ab34fdc9dfd6e52c4922836b1a81f76477fa4c9f3a68993ba3cb54f2352

Aliases

arxiv: 0904.3912 · arxiv_version: 0904.3912v2 · doi: 10.48550/arxiv.0904.3912 · pith_short_12: YRZSVM2P3SO7 · pith_short_16: YRZSVM2P3SO723SS · pith_short_8: YRZSVM2P

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/YRZSVM2P3SO723SSYSJCQNVRVA \
  | 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: c4732ab34fdc9dfd6e52c4922836b1a81f76477fa4c9f3a68993ba3cb54f2352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da9b1212a29a6d9d657dcfe617996435df85c19cdb7cd095ff59080d3ff1509",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-04-24T18:01:54Z",
    "title_canon_sha256": "23d1b435f23d6237138314c19caf7adc892c2ab78f7cb1f7fd318fe8cfe37eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3912",
    "kind": "arxiv",
    "version": 2
  }
}