Pith Number

pith:RH266IYY

pith:2012:RH266IYYHIVZZ3F4F43NRECNM2

not attested not anchored not stored refs pending

Nonexistence and multiplicity of solutions to elliptic problems with supercritical exponents

Angela Pistoia, Jorge Faya, M\'onica Clapp

arxiv:1212.5137 v1 · 2012-12-20 · 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{RH266IYYHIVZZ3F4F43NRECNM2}

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	2026-05-18T03:38:03.704442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89f5ef23183a2b9cecbc2f36d8904d66a67f1666a2f9f907a04c6fdc98dd217c

Aliases

arxiv: 1212.5137 · arxiv_version: 1212.5137v1 · doi: 10.48550/arxiv.1212.5137 · pith_short_12: RH266IYYHIVZ · pith_short_16: RH266IYYHIVZZ3F4 · pith_short_8: RH266IYY

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/RH266IYYHIVZZ3F4F43NRECNM2 \
  | 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: 89f5ef23183a2b9cecbc2f36d8904d66a67f1666a2f9f907a04c6fdc98dd217c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bf575b985e0e6f467714501ac3528b53caba203ada7bbaca0cc3794d7a4dd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-20T16:56:05Z",
    "title_canon_sha256": "e359dcb8eedff2643e33259316e92364d537697b9b0f408fba1fbb8a2a14ee43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5137",
    "kind": "arxiv",
    "version": 1
  }
}