Pith Number

pith:L6XWOSPL

pith:2012:L6XWOSPLTCC2G5XKTQMDSBMJ36

not attested not anchored not stored refs pending

Report on "Mathematical Aspects of P vs. NP and its Variants."

Joshua A. Grochow, Korben Rusek

arxiv:1203.2888 v2 · 2012-03-13 · cs.CC · math.AG · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6XWOSPLTCC2G5XKTQMDSBMJ36}

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	2026-05-18T03:59:37.757949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5faf6749eb9885a376ea9c18390589df8b449f9087501d4380d05c83045968dd

Aliases

arxiv: 1203.2888 · arxiv_version: 1203.2888v2 · doi: 10.48550/arxiv.1203.2888 · pith_short_12: L6XWOSPLTCC2 · pith_short_16: L6XWOSPLTCC2G5XK · pith_short_8: L6XWOSPL

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/L6XWOSPLTCC2G5XKTQMDSBMJ36 \
  | 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: 5faf6749eb9885a376ea9c18390589df8b449f9087501d4380d05c83045968dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3ef5bbcf3309f8c149295dd5decf45cdde44872764a8a87bfaaf759dd9f1d8e",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-03-13T18:42:15Z",
    "title_canon_sha256": "71ca9029142b93e2d49308985ef2c1688daef19f7825aa6d637ef55348c16954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2888",
    "kind": "arxiv",
    "version": 2
  }
}