Pith Number

pith:GHABKQ57

pith:2011:GHABKQ577I3U34WD4AUYXG43X5

not attested not anchored not stored refs pending

Program-Size Versus Time Complexity, Speed-Up and Slowdown Phenomena in Small Turing Machines

Fernando Soler-Toscano, Hector Zenil, Joost J. Joosten

arxiv:1102.5389 v2 · 2011-02-26 · cs.CC · 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{GHABKQ577I3U34WD4AUYXG43X5}

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	2026-05-18T02:22:31.068364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c01543bffa374df2c3e0298b9b9bbf5316714c4bf2e819dafefc7bfa850530

Aliases

arxiv: 1102.5389 · arxiv_version: 1102.5389v2 · doi: 10.48550/arxiv.1102.5389 · pith_short_12: GHABKQ577I3U · pith_short_16: GHABKQ577I3U34WD · pith_short_8: GHABKQ57

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/GHABKQ577I3U34WD4AUYXG43X5 \
  | 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: 31c01543bffa374df2c3e0298b9b9bbf5316714c4bf2e819dafefc7bfa850530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a260b8b7ac97eb69177aa4297951ab54a6824585fe4b4984f9d2f92c49683a8c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-02-26T05:23:17Z",
    "title_canon_sha256": "79cd54cff11bfd65e3ae961d577a8559a3acd2164ca282958f7c5d322680e53c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5389",
    "kind": "arxiv",
    "version": 2
  }
}