Pith Number

pith:SPV7PDHF

pith:2013:SPV7PDHFYMZKR2QV3UVPMMFLK4

not attested not anchored not stored refs pending

Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems

Mihalis Mourgoglou (LM-Orsay), Pascal Auscher (LM-Orsay)

arxiv:1306.4115 v1 · 2013-06-18 · math.CA · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPV7PDHFYMZKR2QV3UVPMMFLK4}

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	2026-05-18T00:44:29.715111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ebf78ce5c332a8ea15dd2af630ab5700fb6761e86d66e5e87d0147c94cd001

Aliases

arxiv: 1306.4115 · arxiv_version: 1306.4115v1 · doi: 10.48550/arxiv.1306.4115 · pith_short_12: SPV7PDHFYMZK · pith_short_16: SPV7PDHFYMZKR2QV · pith_short_8: SPV7PDHF

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/SPV7PDHFYMZKR2QV3UVPMMFLK4 \
  | 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: 93ebf78ce5c332a8ea15dd2af630ab5700fb6761e86d66e5e87d0147c94cd001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e6fb0e5bdac03507f5150eecec90c6af12325b71a47f6fb05bafc10bfa7bab",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-18T09:15:42Z",
    "title_canon_sha256": "94f094184cc8166aedcb39788185e2c2c3a58d722310e89071bb8794a8b345f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4115",
    "kind": "arxiv",
    "version": 1
  }
}