Pith Number

pith:RPKSASWE

pith:2012:RPKSASWE7TLSJXLKUCZYPULMLX

not attested not anchored not stored refs pending

Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients

Jean-Christophe Mourrat

arxiv:1203.3417 v1 · 2012-03-15 · math.AP · 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{RPKSASWE7TLSJXLKUCZYPULMLX}

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	2026-05-18T04:00:01.711808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bd5204ac4fcd724dd6aa0b387d16c5dcb7d4586d590b0e6b02d0cb409b2014a

Aliases

arxiv: 1203.3417 · arxiv_version: 1203.3417v1 · doi: 10.48550/arxiv.1203.3417 · pith_short_12: RPKSASWE7TLS · pith_short_16: RPKSASWE7TLSJXLK · pith_short_8: RPKSASWE

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/RPKSASWE7TLSJXLKUCZYPULMLX \
  | 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: 8bd5204ac4fcd724dd6aa0b387d16c5dcb7d4586d590b0e6b02d0cb409b2014a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0195316bd6a1ecc5769666fdd9471134666b365ca5ef69c965f72c177eb7fbe6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-15T16:55:42Z",
    "title_canon_sha256": "7147834cf3375fde3588bc050e75b40e0f5727adcdcca4b2e4682319111c1b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3417",
    "kind": "arxiv",
    "version": 1
  }
}