Pith Number

pith:E2AYNOZN

pith:2008:E2AYNOZNDRGYHYAWC5W72H3PBQ

not attested not anchored not stored refs pending

Efficient tests for equivalence of hidden Markov processes and quantum random walks

Alexander Sch\"onhuth, Ulrich Faigle

arxiv:0808.2833 v5 · 2008-08-20 · 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{E2AYNOZNDRGYHYAWC5W72H3PBQ}

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	2026-05-18T00:58:25.443203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268186bb2d1c4d83e016176dfd1f6f0c1a51cb45d6f66ab036423b3070027dcf

Aliases

arxiv: 0808.2833 · arxiv_version: 0808.2833v5 · doi: 10.48550/arxiv.0808.2833 · pith_short_12: E2AYNOZNDRGY · pith_short_16: E2AYNOZNDRGYHYAW · pith_short_8: E2AYNOZN

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/E2AYNOZNDRGYHYAWC5W72H3PBQ \
  | 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: 268186bb2d1c4d83e016176dfd1f6f0c1a51cb45d6f66ab036423b3070027dcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "032496b87eb04342af1d46bb9432eb4d82a3ecc04ca08717d81ed9b024d641cb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-08-20T22:53:12Z",
    "title_canon_sha256": "999b2e2d4ec8aa3d4e6d0f9be0cdf498389592711452cb83f12d2102e4c72505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2833",
    "kind": "arxiv",
    "version": 5
  }
}