Pith Number

pith:S2SLCFWS

pith:2007:S2SLCFWSGT7KWXBWIRCZEC2YUI

not attested not anchored not stored refs pending

Estimating Random Variables from Random Sparse Observations

Andrea Montanari

arxiv:0709.0145 v1 · 2007-09-03 · cs.IT · 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{S2SLCFWSGT7KWXBWIRCZEC2YUI}

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.

Cited by

1 paper in Pith

A Simple Algorithm for Best Separable State

Receipt and verification

First computed	2026-07-04T15:03:58.920644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a4b116d234feab5c364445920b58a206b9955b72cc75774b5211f47b801087

Aliases

arxiv: 0709.0145 · arxiv_version: 0709.0145v1 · doi: 10.48550/arxiv.0709.0145 · pith_short_12: S2SLCFWSGT7K · pith_short_16: S2SLCFWSGT7KWXBW · pith_short_8: S2SLCFWS

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/S2SLCFWSGT7KWXBWIRCZEC2YUI \
  | 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: 96a4b116d234feab5c364445920b58a206b9955b72cc75774b5211f47b801087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713b0bf35fd13ee31ddd0830be77e047b7c07f5fddeb43ed1ec9dfff76d48bd2",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-09-03T02:57:58Z",
    "title_canon_sha256": "f8f811b060937ccd20a9cffb73d972bbf92283ffd51ef6fd28915cfff1f66181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0145",
    "kind": "arxiv",
    "version": 1
  }
}