Pith Number

pith:WQRFY3C7

pith:2018:WQRFY3C7TH2CK4SCYVVJALJECQ

not attested not anchored not stored refs pending

Asymptotic behavior of the principal eigenvalue of a linear second order elliptic operator with small/large diffusion coefficient and its application

Guanghui Zhang, Maolin Zhou, Rui Peng

arxiv:1809.10815 v1 · 2018-09-28 · 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{WQRFY3C7TH2CK4SCYVVJALJECQ}

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	2026-05-18T00:04:34.963336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4225c6c5f99f4257242c56a902d24142d46b1a33375d16044ab5930be0803d3

Aliases

arxiv: 1809.10815 · arxiv_version: 1809.10815v1 · doi: 10.48550/arxiv.1809.10815 · pith_short_12: WQRFY3C7TH2C · pith_short_16: WQRFY3C7TH2CK4SC · pith_short_8: WQRFY3C7

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/WQRFY3C7TH2CK4SCYVVJALJECQ \
  | 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: b4225c6c5f99f4257242c56a902d24142d46b1a33375d16044ab5930be0803d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c6d966cfe3e2203392a3dc174c0b72ddb7c8cd6a293fbe27798c7c69fedb66e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-28T01:38:24Z",
    "title_canon_sha256": "f2a62e7c54864365ceb8a2c1d8c6151feaf7f8ecd14718a8bf3f4d92248c67b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10815",
    "kind": "arxiv",
    "version": 1
  }
}