Pith Number

pith:PFJ2ERHP

pith:2012:PFJ2ERHPGFMLJ6WXVKEC6RT2ZE

not attested not anchored not stored refs pending

Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions

Habib Ammari, Hyeonbae Kang, Hyundae Lee, Kyoungsun Kim

arxiv:1212.6889 v1 · 2012-12-31 · 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{PFJ2ERHPGFMLJ6WXVKEC6RT2ZE}

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	2026-05-18T03:37:29.591741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7953a244ef3158b4fad7aa882f467ac935ddc91e5acdd4fe7012ca56cfc92c76

Aliases

arxiv: 1212.6889 · arxiv_version: 1212.6889v1 · doi: 10.48550/arxiv.1212.6889 · pith_short_12: PFJ2ERHPGFML · pith_short_16: PFJ2ERHPGFMLJ6WX · pith_short_8: PFJ2ERHP

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/PFJ2ERHPGFMLJ6WXVKEC6RT2ZE \
  | 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: 7953a244ef3158b4fad7aa882f467ac935ddc91e5acdd4fe7012ca56cfc92c76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff680a0e128e3fadc5cc436d2e6ad58a595d394c45b3f82db204efa86287dd66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-31T13:36:03Z",
    "title_canon_sha256": "c10ac0ae42e0c61adb87c4898e3b74eeba54420f6527df0cdb05557f34e0436a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6889",
    "kind": "arxiv",
    "version": 1
  }
}