Pith Number

pith:SAC3CMFO

pith:2016:SAC3CMFOWDAHAYMGSE3A6J7XPJ

not attested not anchored not stored refs pending

Uniform boundary regularity in almost-periodic homogenization

Jinping Zhuge

arxiv:1606.04629 v1 · 2016-06-15 · 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{SAC3CMFOWDAHAYMGSE3A6J7XPJ}

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	2026-05-18T00:50:57.017843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9005b130aeb0c070618691360f27f77a45297dc139bde89f0705bf11d36055df

Aliases

arxiv: 1606.04629 · arxiv_version: 1606.04629v1 · doi: 10.48550/arxiv.1606.04629 · pith_short_12: SAC3CMFOWDAH · pith_short_16: SAC3CMFOWDAHAYMG · pith_short_8: SAC3CMFO

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/SAC3CMFOWDAHAYMGSE3A6J7XPJ \
  | 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: 9005b130aeb0c070618691360f27f77a45297dc139bde89f0705bf11d36055df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b69382032c40b71b95660822d62c426f8b6a433395cabbb4621ba2dcc78101d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-15T03:21:58Z",
    "title_canon_sha256": "d97107f3b852e868aa83e7ea75bd3958f7a5fe7ba154d37c688c8217991cfa7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04629",
    "kind": "arxiv",
    "version": 1
  }
}