Pith Number

pith:UNAMH4XG

pith:2017:UNAMH4XGSTMJSYZ6YAKOLW5KZN

not attested not anchored not stored refs pending

Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional elliptic system

Qihan He, Shuangjie Peng, Yan-fang Peng

arxiv:1705.09100 v1 · 2017-05-25 · 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{UNAMH4XGSTMJSYZ6YAKOLW5KZN}

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	2026-05-18T00:43:40.424270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a340c3f2e694d899633ec014e5dbaacb7cacd7fa67414379b1b5752166da8972

Aliases

arxiv: 1705.09100 · arxiv_version: 1705.09100v1 · doi: 10.48550/arxiv.1705.09100 · pith_short_12: UNAMH4XGSTMJ · pith_short_16: UNAMH4XGSTMJSYZ6 · pith_short_8: UNAMH4XG

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/UNAMH4XGSTMJSYZ6YAKOLW5KZN \
  | 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: a340c3f2e694d899633ec014e5dbaacb7cacd7fa67414379b1b5752166da8972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "411b67fd2c51c45017fe5c8b8ae77667b573c60ecba639cae9778142e2d11360",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-25T09:20:31Z",
    "title_canon_sha256": "8aed995e34767d8b05e572f6b4721e3c160f4b423dba8489bb14d8b4eb3f3497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09100",
    "kind": "arxiv",
    "version": 1
  }
}