Pith Number

pith:26S36F7S

pith:2015:26S36F7S7R647WBJUZVFVHBIJ4

not attested not anchored not stored refs pending

Scaling limit of fluctuations in stochastic homogenization

Jean-Christophe Mourrat, Yu Gu

arxiv:1503.00578 v2 · 2015-03-02 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26S36F7S7R647WBJUZVFVHBIJ4}

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	2026-05-18T01:25:24.637575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a5bf17f2fc7dcfd829a66a5a9c284f16bfedef32fc07b43ba39eb303981123

Aliases

arxiv: 1503.00578 · arxiv_version: 1503.00578v2 · doi: 10.48550/arxiv.1503.00578 · pith_short_12: 26S36F7S7R64 · pith_short_16: 26S36F7S7R647WBJ · pith_short_8: 26S36F7S

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/26S36F7S7R647WBJUZVFVHBIJ4 \
  | 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: d7a5bf17f2fc7dcfd829a66a5a9c284f16bfedef32fc07b43ba39eb303981123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1126c194eb937f0bef27ff9efe6369a7e805b2d780831742eb59ce048f3056f6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-02T15:38:24Z",
    "title_canon_sha256": "eb05b888a554db84f165b6efcee14a4b44bac8d8bb034303a4089ede20f7d785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00578",
    "kind": "arxiv",
    "version": 2
  }
}