Pith Number

pith:OHZO57AR

pith:2011:OHZO57ARUVOJTY4MPWZYKPMWXY

not attested not anchored not stored refs pending

A Maximum Entropy solution of the Covariance Extension Problem for Reciprocal Processes

Augusto Ferrante, Francesca Carli, Giorgio Picci, Michele Pavon

arxiv:1101.4849 v1 · 2011-01-25 · math.OC · cs.IT · cs.SY · math.IT · 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{OHZO57ARUVOJTY4MPWZYKPMWXY}

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	2026-05-18T00:58:19.149233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f2eefc11a55c99e38c7db3853d96be2c26d0c33463a76c49deaa9f75911729

Aliases

arxiv: 1101.4849 · arxiv_version: 1101.4849v1 · doi: 10.48550/arxiv.1101.4849 · pith_short_12: OHZO57ARUVOJ · pith_short_16: OHZO57ARUVOJTY4M · pith_short_8: OHZO57AR

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/OHZO57ARUVOJTY4MPWZYKPMWXY \
  | 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: 71f2eefc11a55c99e38c7db3853d96be2c26d0c33463a76c49deaa9f75911729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2034e8f07ee7a1f742353336cee7c4afb6e4ce7937dff8c48bdd7104ab4c3a",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.SY",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-01-25T15:24:16Z",
    "title_canon_sha256": "5aa96b2b4a314805373e5a36b0ee87464449d4b3a277fdb73320cf3db8331eba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4849",
    "kind": "arxiv",
    "version": 1
  }
}