Pith Number

pith:L4VCN6BF

pith:2011:L4VCN6BFATMTSNIH3KYG2C6NQD

not attested not anchored not stored refs pending

Exact Reconstruction using Beurling Minimal Extrapolation

Fabrice Gamboa (IMT), Yohann de Castro (IMT)

arxiv:1103.4951 v2 · 2011-03-25 · math.ST · cs.IT · math.IT · math.OC · math.PR · 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{L4VCN6BFATMTSNIH3KYG2C6NQD}

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

Weighted quantization using MMD: From mean field to mean shift via gradient flows

Receipt and verification

First computed	2026-05-18T03:58:36.931548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2a26f82504d9393507dab06d0bcd80e463fa297c1380b59db47782cb132ac7

Aliases

arxiv: 1103.4951 · arxiv_version: 1103.4951v2 · doi: 10.48550/arxiv.1103.4951 · pith_short_12: L4VCN6BFATMT · pith_short_16: L4VCN6BFATMTSNIH · pith_short_8: L4VCN6BF

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/L4VCN6BFATMTSNIH3KYG2C6NQD \
  | 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: 5f2a26f82504d9393507dab06d0bcd80e463fa297c1380b59db47782cb132ac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba06ee461772974ce99983012424367dd661ee3dd06b274ba16c4b2646899eeb",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OC",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-03-25T11:31:47Z",
    "title_canon_sha256": "68e9c3b9912a09e997ea67d440991c15d7b5eb4ad9e2793da3f3187e0f5431b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4951",
    "kind": "arxiv",
    "version": 2
  }
}