Pith Number

pith:VCKIRSNN

pith:2016:VCKIRSNN72CS7TLGLF7GW7YWE2

not attested not anchored not stored refs pending

Homogenization and boundary layers in domains of finite type

Jinping Zhuge

arxiv:1612.05383 v2 · 2016-12-16 · 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{VCKIRSNN72CS7TLGLF7GW7YWE2}

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	2026-05-18T00:50:54.342812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89488c9adfe852fcd66597e6b7f1626ac18238d60c1f9dbe01c96f231346172

Aliases

arxiv: 1612.05383 · arxiv_version: 1612.05383v2 · doi: 10.48550/arxiv.1612.05383 · pith_short_12: VCKIRSNN72CS · pith_short_16: VCKIRSNN72CS7TLG · pith_short_8: VCKIRSNN

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/VCKIRSNN72CS7TLGLF7GW7YWE2 \
  | 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: a89488c9adfe852fcd66597e6b7f1626ac18238d60c1f9dbe01c96f231346172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9801ffac9322d379a3f7a916b0b809e1df08618b49be59c4a55cee0ec88c2437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-16T06:54:58Z",
    "title_canon_sha256": "5f845bdbc1936b963460635b38304410dd3a2f6d51adcb8d4ce4dc821688c60a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05383",
    "kind": "arxiv",
    "version": 2
  }
}