Pith Number

pith:KYP2RYOF

pith:2009:KYP2RYOFHC6RSUXOLT6RGUJDAB

not attested not anchored not stored refs pending

Algorithmic randomness and monotone complexity on product space

Hayato Takahashi

arxiv:0910.5076 v2 · 2009-10-27 · 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{KYP2RYOFHC6RSUXOLT6RGUJDAB}

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	2026-07-04T17:30:55.578585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561fa8e1c538bd1952ee5cfd13512300719814fa1acc83c06776a0ac46ed88a3

Aliases

arxiv: 0910.5076 · arxiv_version: 0910.5076v2 · doi: 10.48550/arxiv.0910.5076 · pith_short_12: KYP2RYOFHC6R · pith_short_16: KYP2RYOFHC6RSUXO · pith_short_8: KYP2RYOF

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/KYP2RYOFHC6RSUXOLT6RGUJDAB \
  | 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: 561fa8e1c538bd1952ee5cfd13512300719814fa1acc83c06776a0ac46ed88a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b375a3aa6a5c1f7c276bd15e85f4596e5d6163b1e152d49bfa03e8f7198ffbe",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-10-27T10:10:09Z",
    "title_canon_sha256": "063418f998d0bdeb0bd846ecce3997a6b655b673f86f5e5ddc12b4628d96fe9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5076",
    "kind": "arxiv",
    "version": 2
  }
}