Pith Number

pith:JF7U2CZY

pith:2018:JF7U2CZYVMZP7RZ6GSYNIBXKCI

not attested not anchored not stored refs pending

Thin layer analysis of a non-local model for the double layer structure

Chiun-Chang Lee

arxiv:1807.11170 v1 · 2018-07-30 · 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{JF7U2CZYVMZP7RZ6GSYNIBXKCI}

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	2026-05-18T00:09:32.761383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

497f4d0b38ab32ffc73e34b0d406ea12197c17ea5536b9073f7248a9ce80cab1

Aliases

arxiv: 1807.11170 · arxiv_version: 1807.11170v1 · doi: 10.48550/arxiv.1807.11170 · pith_short_12: JF7U2CZYVMZP · pith_short_16: JF7U2CZYVMZP7RZ6 · pith_short_8: JF7U2CZY

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/JF7U2CZYVMZP7RZ6GSYNIBXKCI \
  | 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: 497f4d0b38ab32ffc73e34b0d406ea12197c17ea5536b9073f7248a9ce80cab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7acd3741a2bd80f38069408d4e11504afe119677f2f8e11e44f4b216bc1915b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-30T04:37:48Z",
    "title_canon_sha256": "848d3050172c8d95c93a3740d612ee31f0b523116eb1ea968fb20e23cc2f697a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11170",
    "kind": "arxiv",
    "version": 1
  }
}