Pith Number

pith:AQ3W4QD3

pith:2015:AQ3W4QD36OJYYWQVVTGI2CKAMT

not attested not anchored not stored refs pending

The Lane-Emden system near the critical hyperbola on nonconvex domains

Woocheol Choi

arxiv:1505.06978 v4 · 2015-05-26 · 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{AQ3W4QD36OJYYWQVVTGI2CKAMT}

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	2026-05-18T01:23:24.107283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04376e407bf3938c5a15accc8d094064f3b6f11db1ce03b9de7ae880f0d5ec81

Aliases

arxiv: 1505.06978 · arxiv_version: 1505.06978v4 · doi: 10.48550/arxiv.1505.06978 · pith_short_12: AQ3W4QD36OJY · pith_short_16: AQ3W4QD36OJYYWQV · pith_short_8: AQ3W4QD3

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/AQ3W4QD36OJYYWQVVTGI2CKAMT \
  | 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: 04376e407bf3938c5a15accc8d094064f3b6f11db1ce03b9de7ae880f0d5ec81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed29e026fa53eff64c56c5c2924f68d0100af5563655a1a002d889388fa3cfba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-26T14:52:15Z",
    "title_canon_sha256": "e5a1f57892aba2900bef837830a952e9158612a2939990d7f6397bab7e9a5c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06978",
    "kind": "arxiv",
    "version": 4
  }
}