Pith Number

pith:BFEPDBML

pith:2012:BFEPDBMLGYVDOYMAKBHKPS5I7Q

not attested not anchored not stored refs pending

Robustness for a Liouville type theorem in exterior domains

Juliette Bouhours

arxiv:1207.0329 v3 · 2012-07-02 · 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{BFEPDBMLGYVDOYMAKBHKPS5I7Q}

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	2026-05-18T02:39:25.848849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0948f1858b362a376180504ea7cba8fc1166216d391308caa1df19f65082cecb

Aliases

arxiv: 1207.0329 · arxiv_version: 1207.0329v3 · doi: 10.48550/arxiv.1207.0329 · pith_short_12: BFEPDBMLGYVD · pith_short_16: BFEPDBMLGYVDOYMA · pith_short_8: BFEPDBML

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/BFEPDBMLGYVDOYMAKBHKPS5I7Q \
  | 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: 0948f1858b362a376180504ea7cba8fc1166216d391308caa1df19f65082cecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936f595ff669bca41962d811bc1d4b3d2d3c7b72561d60a76b1a206f7c8b1bfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-02T10:23:37Z",
    "title_canon_sha256": "fb53db151209816c5847d533936f98b12294b22c87f279e73593fe48b84c1e32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0329",
    "kind": "arxiv",
    "version": 3
  }
}