Pith Number

pith:KF3S5QM6

pith:2017:KF3S5QM6SWUL7A3ABX2YJAY3EH

not attested not anchored not stored refs pending

Fluctuations in 1D stochastic homogenization of pseudo-elliptic equations with long-range dependent potentials

Atef Lechiheb, Ezeddine Haouala

arxiv:1701.08012 v3 · 2017-01-27 · 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{KF3S5QM6SWUL7A3ABX2YJAY3EH}

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	2026-05-18T00:09:10.167028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51772ec19e95a8bf83600df584831b21f5b6d69b828bc1cc3eb38b637efd8172

Aliases

arxiv: 1701.08012 · arxiv_version: 1701.08012v3 · doi: 10.48550/arxiv.1701.08012 · pith_short_12: KF3S5QM6SWUL · pith_short_16: KF3S5QM6SWUL7A3A · pith_short_8: KF3S5QM6

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/KF3S5QM6SWUL7A3ABX2YJAY3EH \
  | 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: 51772ec19e95a8bf83600df584831b21f5b6d69b828bc1cc3eb38b637efd8172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63145d8e5e1a8843d024cce5e5c651a492512d7aad458efc0a2994a156985d30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-27T11:05:03Z",
    "title_canon_sha256": "0d0caf8613968de5d651a6edd80c841f1795a6d760cb2261ed73fbb715dd2ad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08012",
    "kind": "arxiv",
    "version": 3
  }
}