Pith Number

pith:F3MOLC3D

pith:2014:F3MOLC3DBV6AYFJCNHVVHQOQM5

not attested not anchored not stored refs pending

Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure

Pavol Quittner

arxiv:1409.4960 v1 · 2014-09-17 · 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{F3MOLC3DBV6AYFJCNHVVHQOQM5}

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	2026-05-18T02:18:23.675221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ed8e58b630d7c0c152269eb53c1d0674c761636fbc11d8699581cd3b965cab4

Aliases

arxiv: 1409.4960 · arxiv_version: 1409.4960v1 · doi: 10.48550/arxiv.1409.4960 · pith_short_12: F3MOLC3DBV6A · pith_short_16: F3MOLC3DBV6AYFJC · pith_short_8: F3MOLC3D

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/F3MOLC3DBV6AYFJCNHVVHQOQM5 \
  | 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: 2ed8e58b630d7c0c152269eb53c1d0674c761636fbc11d8699581cd3b965cab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c86d212335da6ca80bfd7c547604a5e4fe0f6afa5b279880b5328a0d7956d9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-17T12:01:38Z",
    "title_canon_sha256": "c13a038c903ec628259d2a347edd8b3844752d9c0d7f71b7f3338c842ac00712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4960",
    "kind": "arxiv",
    "version": 1
  }
}