Pith Number

pith:7R6YTMXW

pith:2013:7R6YTMXW2CDGAAL3ELIETBZNDY

not attested not anchored not stored refs pending

Positive radial solutions for coupled Schr\"{o}dinger system with critical exponent in $\R^N\,(N\geq5)$

Hong-yu Ye, Yan-fang Peng

arxiv:1308.3115 v2 · 2013-08-14 · 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{7R6YTMXW2CDGAAL3ELIETBZNDY}

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	2026-05-18T03:15:55.347731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc7d89b2f6d08660017b22d049872d1e3b1e388d318b9d43b8c332b91f0cd875

Aliases

arxiv: 1308.3115 · arxiv_version: 1308.3115v2 · doi: 10.48550/arxiv.1308.3115 · pith_short_12: 7R6YTMXW2CDG · pith_short_16: 7R6YTMXW2CDGAAL3 · pith_short_8: 7R6YTMXW

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/7R6YTMXW2CDGAAL3ELIETBZNDY \
  | 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: fc7d89b2f6d08660017b22d049872d1e3b1e388d318b9d43b8c332b91f0cd875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c35287c4854217b9ac3f98b164654abcb16fed55800a3d18d6327ad45d5e5d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-14T13:23:33Z",
    "title_canon_sha256": "156304b26d0e0c545d7cbedd977ba621a5053c3529b156f425163dc8ad56923f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3115",
    "kind": "arxiv",
    "version": 2
  }
}