Pith Number

pith:2LLBS3HE

pith:2019:2LLBS3HENGLXME4AKD25Q2RL44

not attested not anchored not stored refs pending

Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales

Pernilla Johnsen, Tatiana Danielsson

arxiv:1908.05892 v1 · 2019-08-16 · 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{2LLBS3HENGLXME4AKD25Q2RL44}

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	2026-07-04T23:57:54.045731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d6196ce4699776138050f5d86a2be70b8f3635f5f71a239d2e1255ef72f748

Aliases

arxiv: 1908.05892 · arxiv_version: 1908.05892v1 · doi: 10.48550/arxiv.1908.05892 · pith_short_12: 2LLBS3HENGLX · pith_short_16: 2LLBS3HENGLXME4A · pith_short_8: 2LLBS3HE

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/2LLBS3HENGLXME4AKD25Q2RL44 \
  | 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: d2d6196ce4699776138050f5d86a2be70b8f3635f5f71a239d2e1255ef72f748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ceffab06af2514be32a34eed236f699e26301ccb30ef313d93d80b4edd430cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-16T08:55:23Z",
    "title_canon_sha256": "70572fdfb69799ab2aa6c6e619eacac85d056ec82a86ef7b95b6ee788cdabf1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05892",
    "kind": "arxiv",
    "version": 1
  }
}