Pith Number

pith:UR3G3E37

pith:2017:UR3G3E376AI5IOFXLZUJS4GJNT

not attested not anchored not stored refs pending

Hardy-Sobolev equations with asymptotically vanishing singularity: Blow-up analysis for the minimal energy

Saikat Mazumdar

arxiv:1702.03480 v1 · 2017-02-12 · 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{UR3G3E376AI5IOFXLZUJS4GJNT}

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	2026-05-18T00:50:53.682719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4766d937ff011d438b75e689970c96cfccc540f60491a56a0d7cd8174deedc1

Aliases

arxiv: 1702.03480 · arxiv_version: 1702.03480v1 · doi: 10.48550/arxiv.1702.03480 · pith_short_12: UR3G3E376AI5 · pith_short_16: UR3G3E376AI5IOFX · pith_short_8: UR3G3E37

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/UR3G3E376AI5IOFXLZUJS4GJNT \
  | 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: a4766d937ff011d438b75e689970c96cfccc540f60491a56a0d7cd8174deedc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8cc415c1d5c68598fbd7c43d8bf1023138e5753fd502c71e1b52265237b118",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-12T02:48:56Z",
    "title_canon_sha256": "4037c2d8c1efc0f0a59a910f8d1fe564286acfdf90d98ed55fc3f00aa20c6e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03480",
    "kind": "arxiv",
    "version": 1
  }
}