Pith Number

pith:SLGZJIHD

pith:2011:SLGZJIHD6EUSM6IZXLULDIAR6D

not attested not anchored not stored refs pending

Bubbling on Boundary Submanifolds for the Lin-Ni-Takagi Problem at Higher Critical Exponents

Fethi Mahmoudi, Manuel del Pino, Monica Musso

arxiv:1107.5566 v4 · 2011-07-27 · 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{SLGZJIHD6EUSM6IZXLULDIAR6D}

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	2026-05-18T03:15:32.806733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92cd94a0e3f129267919bae8b1a011f0cf051fb20fa0d9113b6f75214323a2a4

Aliases

arxiv: 1107.5566 · arxiv_version: 1107.5566v4 · doi: 10.48550/arxiv.1107.5566 · pith_short_12: SLGZJIHD6EUS · pith_short_16: SLGZJIHD6EUSM6IZ · pith_short_8: SLGZJIHD

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/SLGZJIHD6EUSM6IZXLULDIAR6D \
  | 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: 92cd94a0e3f129267919bae8b1a011f0cf051fb20fa0d9113b6f75214323a2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4b31dff2e635bcf45021f3397a50be4326ccf0d994da4e8dba7ec713a832b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-27T19:26:57Z",
    "title_canon_sha256": "f1e0b57bf3d4b4414351f9a9a6d006b4b910e2562f95858350e852b1851fd4cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5566",
    "kind": "arxiv",
    "version": 4
  }
}