Pith Number

pith:B3FRGIAE

pith:2012:B3FRGIAEUQCR4JMTOG2EARQDYI

not attested not anchored not stored refs pending

State distributions and minimum relative entropy noise sequences in uncertain stochastic systems: the discrete time case

Ian R. Petersen, Igor G. Vladimirov

arxiv:1208.3811 v1 · 2012-08-19 · cs.SY · cs.IT · math.IT · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3FRGIAEUQCR4JMTOG2EARQDYI}

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	2026-05-18T03:48:26.137568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ecb132004a4051e259371b4404603c23d3383c30a5e1eeb9dd80f198ff516f8

Aliases

arxiv: 1208.3811 · arxiv_version: 1208.3811v1 · doi: 10.48550/arxiv.1208.3811 · pith_short_12: B3FRGIAEUQCR · pith_short_16: B3FRGIAEUQCR4JMT · pith_short_8: B3FRGIAE

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/B3FRGIAEUQCR4JMTOG2EARQDYI \
  | 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: 0ecb132004a4051e259371b4404603c23d3383c30a5e1eeb9dd80f198ff516f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15829d743025a494d41adb3bfb85fdc796f133e028a5219b5e474f4852a9b53",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2012-08-19T05:18:26Z",
    "title_canon_sha256": "1ab7beed4d433334b19883b35fb0bee8c13c6e743a8894b873b38045231551fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3811",
    "kind": "arxiv",
    "version": 1
  }
}