Pith Number

pith:SNJFPK46

pith:2012:SNJFPK46C4MWJPV6ZZDURJQLJQ

not attested not anchored not stored refs pending

The Brezis--Nirenberg problem for the H\'{e}non equation: ground state solutions

Simone Secchi

arxiv:1201.3736 v1 · 2012-01-18 · 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{SNJFPK46C4MWJPV6ZZDURJQLJQ}

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	2026-05-18T04:04:18.145995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

935257ab9e171964bebece4748a60b4c3e673bbbefef4202d5b556a35824ef24

Aliases

arxiv: 1201.3736 · arxiv_version: 1201.3736v1 · doi: 10.48550/arxiv.1201.3736 · pith_short_12: SNJFPK46C4MW · pith_short_16: SNJFPK46C4MWJPV6 · pith_short_8: SNJFPK46

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/SNJFPK46C4MWJPV6ZZDURJQLJQ \
  | 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: 935257ab9e171964bebece4748a60b4c3e673bbbefef4202d5b556a35824ef24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c3a19b34d985672f907c74b73dca9e0748876e9304c082e08a57cc9b11099f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-18T09:51:43Z",
    "title_canon_sha256": "4d00ea01348a973644486c04ba3380d4d9e10339a0d3296dda236bf74d29ce79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3736",
    "kind": "arxiv",
    "version": 1
  }
}