Pith Number

pith:X45SRNDV

pith:2007:X45SRNDV7LMIE3PLZ334V3HRZZ

not attested not anchored not stored refs pending

Regularization independent of the noise level: an analysis of quasi-optimality

Frank Bauer, Markus Reiss

arxiv:0710.1045 v1 · 2007-10-04 · math.NA · cs.NA · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X45SRNDV7LMIE3PLZ334V3HRZZ}

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	2026-06-03T22:06:02.731612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3b28b475fad8826debcef7caecf1ce67355a3c06efc24a522ca2010badff41

Aliases

arxiv: 0710.1045 · arxiv_version: 0710.1045v1 · doi: 10.48550/arxiv.0710.1045 · pith_short_12: X45SRNDV7LMI · pith_short_16: X45SRNDV7LMIE3PL · pith_short_8: X45SRNDV

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/X45SRNDV7LMIE3PLZ334V3HRZZ \
  | 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: bf3b28b475fad8826debcef7caecf1ce67355a3c06efc24a522ca2010badff41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26f833d6d139440e891ca0cd65e6e5d8a377b8ddae8c7cd0e10b85105c745e5f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-10-04T16:26:01Z",
    "title_canon_sha256": "6230ef0059508d2a3123ae1c66dcd44a6f259e89958e9e9936ed25306a5d8f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1045",
    "kind": "arxiv",
    "version": 1
  }
}