Pith Number

pith:BC4NWT4B

pith:2008:BC4NWT4BLFBWCOTJRTRTWXSFQT

not attested not anchored not stored refs pending

Optimal Markov Approximations and Generalized Embeddings

Detlef Holstein, Holger Kantz

arxiv:0808.1513 v1 · 2008-08-11 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BC4NWT4BLFBWCOTJRTRTWXSFQT}

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	2026-05-18T03:24:18.232590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b8db4f815943613a698ce33b5e4584e9d92d39d7a89ef90678884aa285ecb7

Aliases

arxiv: 0808.1513 · arxiv_version: 0808.1513v1 · doi: 10.48550/arxiv.0808.1513 · pith_short_12: BC4NWT4BLFBW · pith_short_16: BC4NWT4BLFBWCOTJ · pith_short_8: BC4NWT4B

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/BC4NWT4BLFBWCOTJRTRTWXSFQT \
  | 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: 08b8db4f815943613a698ce33b5e4584e9d92d39d7a89ef90678884aa285ecb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d492b08b3441b73a12ef7b830a195dd92c24bb30217aa2d1e973060dc2fe46a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2008-08-11T13:21:10Z",
    "title_canon_sha256": "3d7966319178bae6cf0062dd2d743cd336d77679f7a70209722489ba4a54b18d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1513",
    "kind": "arxiv",
    "version": 1
  }
}