Pith Number

pith:QQAUT7Z3

pith:2017:QQAUT7Z3GEUAOQNJ67MZA6PUWR

not attested not anchored not stored refs pending

On Delaunay solutions of a biharmonic elliptic equation with critical exponent

Juncheng Wei, Liping Wang, Xia Huang, Zongming Guo

arxiv:1708.04660 v1 · 2017-08-15 · 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{QQAUT7Z3GEUAOQNJ67MZA6PUWR}

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	2026-05-18T00:37:58.281968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840149ff3b31280741a9f7d99079f4b4709919f9e53fb42b3e55f9c0d387a60c

Aliases

arxiv: 1708.04660 · arxiv_version: 1708.04660v1 · doi: 10.48550/arxiv.1708.04660 · pith_short_12: QQAUT7Z3GEUA · pith_short_16: QQAUT7Z3GEUAOQNJ · pith_short_8: QQAUT7Z3

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/QQAUT7Z3GEUAOQNJ67MZA6PUWR \
  | 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: 840149ff3b31280741a9f7d99079f4b4709919f9e53fb42b3e55f9c0d387a60c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f6c6a2eba8302d2feb336504b512f897b15bcce9bac471a4a7ed4e88a3c41f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-15T19:52:11Z",
    "title_canon_sha256": "6b2533caaf100f1b3db3e5d077d4a854d9e378dd3d8c4ab5e4c56ea24efc3dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04660",
    "kind": "arxiv",
    "version": 1
  }
}