Pith Number

pith:4XPQBIUM

pith:2017:4XPQBIUMFSEJS7OI2522J4RRIZ

not attested not anchored not stored refs pending

Uniform Boundary Estimates in Homogenization of Higher Order Elliptic Systems

Weisheng Niu, Yao Xu

arxiv:1709.04097 v1 · 2017-09-13 · 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{4XPQBIUMFSEJS7OI2522J4RRIZ}

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	2026-05-18T00:35:15.472827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5df00a28c2c88997dc8d775a4f23146728c407ed10f1fa63d0f04e0d7a83b1f

Aliases

arxiv: 1709.04097 · arxiv_version: 1709.04097v1 · doi: 10.48550/arxiv.1709.04097 · pith_short_12: 4XPQBIUMFSEJ · pith_short_16: 4XPQBIUMFSEJS7OI · pith_short_8: 4XPQBIUM

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/4XPQBIUMFSEJS7OI2522J4RRIZ \
  | 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: e5df00a28c2c88997dc8d775a4f23146728c407ed10f1fa63d0f04e0d7a83b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddcc2664b6468c0386b3593b454a34236b90910d795ac1a5d98466e0af1d83fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-13T01:09:48Z",
    "title_canon_sha256": "c5a899b6969d26a11e3132dc3f56623883968ce66cf251200dd5ad1d3c71e466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04097",
    "kind": "arxiv",
    "version": 1
  }
}