Pith Number

pith:56J3LBV4

pith:2010:56J3LBV4RBIPDYHBVMZDJJG4TA

not attested not anchored not stored refs pending

Properties of the extremal solution for a fourth-order elliptic problem

Baishun Lai, Zhuoran Du

arxiv:1009.2546 v3 · 2010-09-14 · 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{56J3LBV4RBIPDYHBVMZDJJG4TA}

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	2026-05-18T04:17:03.215482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef93b586bc8850f1e0e1ab3234a4dc981bed467b079916b13360514c8e9f7fe7

Aliases

arxiv: 1009.2546 · arxiv_version: 1009.2546v3 · doi: 10.48550/arxiv.1009.2546 · pith_short_12: 56J3LBV4RBIP · pith_short_16: 56J3LBV4RBIPDYHB · pith_short_8: 56J3LBV4

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/56J3LBV4RBIPDYHBVMZDJJG4TA \
  | 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: ef93b586bc8850f1e0e1ab3234a4dc981bed467b079916b13360514c8e9f7fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1547d6e587655819ccc1b60e905b401b2275f6d29e6d513ac3e984c860a94d88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-14T00:49:31Z",
    "title_canon_sha256": "45996384a62f1e17e4f8d37ce43d1b9dc89d3b44efb5f43bf721177b3052b9ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2546",
    "kind": "arxiv",
    "version": 3
  }
}