Pith Number

pith:4XD4HE5A

pith:2019:4XD4HE5A5AA3PXKEIIIVDRLYN4

not attested not anchored not stored refs pending

Bloch wave approach to almost periodic homogenization and approximations of effective coefficients

Sivaji Ganesh Sista, Vivek Tewary

arxiv:1908.07977 v2 · 2019-08-21 · 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{4XD4HE5A5AA3PXKEIIIVDRLYN4}

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	2026-07-05T00:51:03.577723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c7c393a0e801b7dd44421151c5786f1b0825792bb363e31a23834b4884bf86

Aliases

arxiv: 1908.07977 · arxiv_version: 1908.07977v2 · doi: 10.48550/arxiv.1908.07977 · pith_short_12: 4XD4HE5A5AA3 · pith_short_16: 4XD4HE5A5AA3PXKE · pith_short_8: 4XD4HE5A

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/4XD4HE5A5AA3PXKEIIIVDRLYN4 \
  | 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: e5c7c393a0e801b7dd44421151c5786f1b0825792bb363e31a23834b4884bf86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc948498de585e81f756f71e2a6ecda51ad31826bd567bc7532ad7d4206ba19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-21T16:33:00Z",
    "title_canon_sha256": "527222db33ceb45ac9d162869db3d94071da9bf316b43eaa2b5c75b014c3be63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07977",
    "kind": "arxiv",
    "version": 2
  }
}