Pith Number

pith:Z7LHHJC4

pith:2016:Z7LHHJC4KI2TQVSG36NU2L7P54

not attested not anchored not stored refs pending

Approximate Correctors and Convergence Rates in Almost-Periodic Homogenization

Jinping Zhuge, Zhongwei Shen

arxiv:1603.03139 v2 · 2016-03-10 · 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{Z7LHHJC4KI2TQVSG36NU2L7P54}

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	2026-05-18T01:18:59.874265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd673a45c5235385646df9b4d2fefef0662d65789f81a9f8712e554fe65fcba

Aliases

arxiv: 1603.03139 · arxiv_version: 1603.03139v2 · doi: 10.48550/arxiv.1603.03139 · pith_short_12: Z7LHHJC4KI2T · pith_short_16: Z7LHHJC4KI2TQVSG · pith_short_8: Z7LHHJC4

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/Z7LHHJC4KI2TQVSG36NU2L7P54 \
  | 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: cfd673a45c5235385646df9b4d2fefef0662d65789f81a9f8712e554fe65fcba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb771efec7d53a4f9fd460bd83974d7ed2d67402bebe69c5902bd5ddbbd1a9ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-10T03:52:47Z",
    "title_canon_sha256": "f497a218ffc736f1034f2cfc968083e7f193e6a6815e9c0148abcb50372321ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03139",
    "kind": "arxiv",
    "version": 2
  }
}