Pith Number

pith:RWLWIMM7

pith:2012:RWLWIMM7RWHNGPK5QMHA5DGOPS

not attested not anchored not stored refs pending

Limit complexities revisited [once more]

Alexander Shen, Andrej Muchnik, Laurent Bienvenu, Nikolai Vereshchagin

arxiv:1204.0201 v1 · 2012-04-01 · math.LO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWLWIMM7RWHNGPK5QMHA5DGOPS}

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	2026-05-18T03:58:50.008015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9764319f8d8ed33d5d830e0e8cce7cb2696cfe51f223570af0080f2fe653ee

Aliases

arxiv: 1204.0201 · arxiv_version: 1204.0201v1 · doi: 10.48550/arxiv.1204.0201 · pith_short_12: RWLWIMM7RWHN · pith_short_16: RWLWIMM7RWHNGPK5 · pith_short_8: RWLWIMM7

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/RWLWIMM7RWHNGPK5QMHA5DGOPS \
  | 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: 8d9764319f8d8ed33d5d830e0e8cce7cb2696cfe51f223570af0080f2fe653ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b30c61d65f3eaf9a1d830ebe5e421c61ffdcda80ea49bc5e5517e3f34f3c274",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-04-01T11:59:02Z",
    "title_canon_sha256": "48338a830348c447ad55724dc6e3e01c6aff8012921a85676c8b8d6919b44aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0201",
    "kind": "arxiv",
    "version": 1
  }
}