Pith Number

pith:AJLI57TY

pith:2010:AJLI57TYFDCKSC7CTZB2P6MNJN

not attested not anchored not stored refs pending

A concave-convex elliptic problem involving the fractional Laplacian

Arturo de Pablo, Cristina Br\"andle, Eduardo Colorado

arxiv:1006.4510 v2 · 2010-06-23 · 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{AJLI57TYFDCKSC7CTZB2P6MNJN}

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	2026-05-18T04:38:59.129174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02568efe7828c4a90be29e43a7f98d4b615029cae8d7ce50419bf2f204fb7641

Aliases

arxiv: 1006.4510 · arxiv_version: 1006.4510v2 · doi: 10.48550/arxiv.1006.4510 · pith_short_12: AJLI57TYFDCK · pith_short_16: AJLI57TYFDCKSC7C · pith_short_8: AJLI57TY

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/AJLI57TYFDCKSC7CTZB2P6MNJN \
  | 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: 02568efe7828c4a90be29e43a7f98d4b615029cae8d7ce50419bf2f204fb7641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0dfd73d945da64afdf1c0897c6b6b7ff44472f55e598b3cde62ecc3d859dc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-23T13:10:06Z",
    "title_canon_sha256": "5cac1b107a841091a815a8f0a22a44db8daee5707d1c07a94c67514b604cf173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4510",
    "kind": "arxiv",
    "version": 2
  }
}