Pith Number

pith:OQ22RZRJ

pith:2013:OQ22RZRJ5IHBFSFF43ZLQJ2VSZ

not attested not anchored not stored refs pending

Boundary value problems for degenerate elliptic equations and systems

Andreas Ros\'en, David Rule, Pascal Auscher (LM-Orsay)

arxiv:1307.5056 v2 · 2013-07-18 · 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{OQ22RZRJ5IHBFSFF43ZLQJ2VSZ}

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	2026-05-18T02:54:14.153059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7435a8e629ea0e12c8a5e6f2b82755966d2f71b561f24625d94f6e4f8c5246b8

Aliases

arxiv: 1307.5056 · arxiv_version: 1307.5056v2 · doi: 10.48550/arxiv.1307.5056 · pith_short_12: OQ22RZRJ5IHB · pith_short_16: OQ22RZRJ5IHBFSFF · pith_short_8: OQ22RZRJ

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/OQ22RZRJ5IHBFSFF43ZLQJ2VSZ \
  | 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: 7435a8e629ea0e12c8a5e6f2b82755966d2f71b561f24625d94f6e4f8c5246b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29bb60aef5d8cee0bacb3ba9e70b9a5b0522a6273add7303e30b74c23879e00e",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-18T19:36:55Z",
    "title_canon_sha256": "f391da74ad546f613112f815c1375f2af2ab32004c44854b080be143bbb9d310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5056",
    "kind": "arxiv",
    "version": 2
  }
}