Pith Number

pith:MX3RN6CI

pith:2025:MX3RN6CI5NJOKKDKXMGPCCQL5M

not attested not anchored not stored refs pending

Differentiability and overlap concentration in optimal Bayesian inference

Hong-Bin Chen (IHES), Victor Issa (ENS de Lyon)

arxiv:2501.08786 v1 · 2025-01-15 · math.PR · cs.IT · math.IT · math.ST · stat.TH

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\usepackage{pith}
\pithnumber{MX3RN6CI5NJOKKDKXMGPCCQL5M}

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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

Statistical Limits for Finite-Rank Tensor Estimation

Receipt and verification

First computed	2026-07-05T10:01:26.037766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65f716f848eb52e5286abb0cf10a0beb240d0aeb74d096017a49304f35b65c94

Aliases

arxiv: 2501.08786 · arxiv_version: 2501.08786v1 · doi: 10.48550/arxiv.2501.08786 · pith_short_12: MX3RN6CI5NJO · pith_short_16: MX3RN6CI5NJOKKDK · pith_short_8: MX3RN6CI

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/MX3RN6CI5NJOKKDKXMGPCCQL5M \
  | 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: 65f716f848eb52e5286abb0cf10a0beb240d0aeb74d096017a49304f35b65c94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca3391fbf7c5c770354d33889a758d66ce7ffb5cd9ebb78362d3860c4edf4c3",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-15T13:16:39Z",
    "title_canon_sha256": "12af7d2bca280aabcc14263b94f0c63946164c2c332a47b6537a130d15fd3fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08786",
    "kind": "arxiv",
    "version": 1
  }
}