Pith Number

pith:2MHXYH3I

pith:2011:2MHXYH3IVUF24WWBQ7BACNFJ3V

not attested not anchored not stored refs pending

Liouville type theorems for stable solutions of certain elliptic systems

Mostafa Fazly

arxiv:1109.5138 v2 · 2011-09-23 · 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{2MHXYH3IVUF24WWBQ7BACNFJ3V}

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	2026-05-18T04:07:53.794154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30f7c1f68ad0bae5ac187c20134a9dd71bd3e497015763ef4bd5fe037462a43

Aliases

arxiv: 1109.5138 · arxiv_version: 1109.5138v2 · doi: 10.48550/arxiv.1109.5138 · pith_short_12: 2MHXYH3IVUF2 · pith_short_16: 2MHXYH3IVUF24WWB · pith_short_8: 2MHXYH3I

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/2MHXYH3IVUF24WWBQ7BACNFJ3V \
  | 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: d30f7c1f68ad0bae5ac187c20134a9dd71bd3e497015763ef4bd5fe037462a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5f44d832fb2fcb334518d2bcb750ff8e49dd7c3ef87a5267b7b3a3df7a2f39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-23T17:38:15Z",
    "title_canon_sha256": "c7db24181bd7b786b77761ee598b82a4b366e48b26ddcb1373cb52400c117c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5138",
    "kind": "arxiv",
    "version": 2
  }
}