Pith Number

pith:7LSJVDAE

pith:2017:7LSJVDAERZGAXYN5YFLJCAK35W

not attested not anchored not stored refs pending

Quantitative stochastic homogenization and large-scale regularity

Jean-Christophe Mourrat, Scott Armstrong, Tuomo Kuusi

arxiv:1705.05300 v2 · 2017-05-15 · 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{7LSJVDAERZGAXYN5YFLJCAK35W}

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	2026-05-17T23:46:36.543782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae49a8c048e4c0be1bdc15691015bedaa213a615f9ee2ca3cb055bd27a3e7bf

Aliases

arxiv: 1705.05300 · arxiv_version: 1705.05300v2 · doi: 10.48550/arxiv.1705.05300 · pith_short_12: 7LSJVDAERZGA · pith_short_16: 7LSJVDAERZGAXYN5 · pith_short_8: 7LSJVDAE

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/7LSJVDAERZGAXYN5YFLJCAK35W \
  | 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: fae49a8c048e4c0be1bdc15691015bedaa213a615f9ee2ca3cb055bd27a3e7bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c28d09e5889e1de9886248101f3fa04d04bd031fff4bbc656dbacbb017c27b5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-15T15:35:57Z",
    "title_canon_sha256": "5c10da03237b11711d2fd88dea72c4ec264e15daa077daa957fc883f8d2e845a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05300",
    "kind": "arxiv",
    "version": 2
  }
}