Pith Number

pith:OSC225AQ

pith:2016:OSC225AQ5KY4SWNLPNWMASNO3N

not attested not anchored not stored refs pending

The Brezis-Nirenberg problem for fractional elliptic operators

Ko-Shin Chen, Marcos Montenegro, Xiaodong Yan

arxiv:1601.01766 v1 · 2016-01-08 · 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{OSC225AQ5KY4SWNLPNWMASNO3N}

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	2026-05-18T01:23:11.352059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7485ad7410eab1c959ab7b6cc049aedb56796f7c876af1a7b57090e25915aeb3

Aliases

arxiv: 1601.01766 · arxiv_version: 1601.01766v1 · doi: 10.48550/arxiv.1601.01766 · pith_short_12: OSC225AQ5KY4 · pith_short_16: OSC225AQ5KY4SWNL · pith_short_8: OSC225AQ

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/OSC225AQ5KY4SWNLPNWMASNO3N \
  | 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: 7485ad7410eab1c959ab7b6cc049aedb56796f7c876af1a7b57090e25915aeb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef86f12828a8b66699d69a8e37cac3ae69c816050048d88340e0df5fe4b5070",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-08T03:57:00Z",
    "title_canon_sha256": "8a147339a2029d3c0841775ecf0a222874d8b16c35800e97b8551d4cf8c49a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01766",
    "kind": "arxiv",
    "version": 1
  }
}