Pith Number

pith:PIWMMYQA

pith:2025:PIWMMYQABCD77JBABGBWAAYBJX

not attested not anchored not stored refs pending

Inference in partially identified moment models via regularized optimal transport

Grigory Franguridi, Laura Liu

arxiv:2512.18084 v3 · 2025-12-19 · econ.EM · 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{PIWMMYQABCD77JBABGBWAAYBJX}

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	2026-06-10T01:08:30.986484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a2cc662000887ffa42009836003014dff826e7a47b21cc4608ca2996f379c38

Aliases

arxiv: 2512.18084 · arxiv_version: 2512.18084v3 · doi: 10.48550/arxiv.2512.18084 · pith_short_12: PIWMMYQABCD7 · pith_short_16: PIWMMYQABCD77JBA · pith_short_8: PIWMMYQA

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/PIWMMYQABCD77JBABGBWAAYBJX \
  | 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: 7a2cc662000887ffa42009836003014dff826e7a47b21cc4608ca2996f379c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa07fd8634a79e3bb14ce23d73f9e79dad744358a8c91ed8e043601fff11386",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2025-12-19T21:41:56Z",
    "title_canon_sha256": "b62db7c9caeb7a9c6c0ce8ad62283e4fbebeacabae0778c2b0e6608c103b4f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18084",
    "kind": "arxiv",
    "version": 3
  }
}