Pith Number

pith:DSXVRR32

pith:2014:DSXVRR32ZJWZVOBHRW7IQJQESR

not attested not anchored not stored refs pending

Pointwise two-scale expansion for parabolic equations with random coefficients

Jean-Christophe Mourrat, Yu Gu

arxiv:1410.2157 v3 · 2014-10-08 · 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{DSXVRR32ZJWZVOBHRW7IQJQESR}

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	2026-05-18T01:32:57.765582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1caf58c77aca6d9ab8278dbe8826049464e02f04a15a9533eaebcde134ba966b

Aliases

arxiv: 1410.2157 · arxiv_version: 1410.2157v3 · doi: 10.48550/arxiv.1410.2157 · pith_short_12: DSXVRR32ZJWZ · pith_short_16: DSXVRR32ZJWZVOBH · pith_short_8: DSXVRR32

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/DSXVRR32ZJWZVOBHRW7IQJQESR \
  | 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: 1caf58c77aca6d9ab8278dbe8826049464e02f04a15a9533eaebcde134ba966b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b3677362d73f88202ce908d926f360f47c7f32451f3f07d20e000e400c97ee",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-08T15:05:31Z",
    "title_canon_sha256": "6d67b1c1149dd46b40f1966c21e6f37b5127e515f57e4fc70e986a1a2156e81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2157",
    "kind": "arxiv",
    "version": 3
  }
}