Pith Number

pith:CQSADIVW

pith:2017:CQSADIVWIS6FKWNFNGUNZR3GKO

not attested not anchored not stored refs pending

Quantitative stochastic homogenization and regularity theory of parabolic equations

Alexandre Bordas, Jean-Christophe Mourrat, Scott Armstrong

arxiv:1705.07672 v3 · 2017-05-22 · 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{CQSADIVWIS6FKWNFNGUNZR3GKO}

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	2026-05-18T00:13:32.673107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142401a2b644bc5559a569a8dcc76653939af05a83f645ba9a9578c149af0983

Aliases

arxiv: 1705.07672 · arxiv_version: 1705.07672v3 · doi: 10.48550/arxiv.1705.07672 · pith_short_12: CQSADIVWIS6F · pith_short_16: CQSADIVWIS6FKWNF · pith_short_8: CQSADIVW

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/CQSADIVWIS6FKWNFNGUNZR3GKO \
  | 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: 142401a2b644bc5559a569a8dcc76653939af05a83f645ba9a9578c149af0983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf63bccf7a13927839149d46e835b2cb5289dd06947471d263e1076368ba0452",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-22T11:26:28Z",
    "title_canon_sha256": "5ede349045c9d219dc7b1607e535e25eeb88fb78db2caa39ea6ce9abda1d36e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07672",
    "kind": "arxiv",
    "version": 3
  }
}