Pith Number

pith:ZMRYV2FG

pith:2023:ZMRYV2FGWPAQV2VB5YSDQPJFZT

not attested not anchored not stored refs pending

The $p$-Laplacian overdetermined problem on Riemannian manifolds

Fan Chen, Qihua Ruan, Qin Huang

arxiv:2305.03492 v1 · 2023-05-05 · 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{ZMRYV2FGWPAQV2VB5YSDQPJFZT}

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	2026-07-05T06:07:23.834545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb238ae8a6b3c10aeaa1ee24383d25ccf8f9fe1f13a01e6441e874e8fc10fc6b

Aliases

arxiv: 2305.03492 · arxiv_version: 2305.03492v1 · doi: 10.48550/arxiv.2305.03492 · pith_short_12: ZMRYV2FGWPAQ · pith_short_16: ZMRYV2FGWPAQV2VB · pith_short_8: ZMRYV2FG

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/ZMRYV2FGWPAQV2VB5YSDQPJFZT \
  | 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: cb238ae8a6b3c10aeaa1ee24383d25ccf8f9fe1f13a01e6441e874e8fc10fc6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8d0d57b34f86f085ecdc7e8a9c500ed6da0017b8aae5f757df77440b3da575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-05-05T13:07:28Z",
    "title_canon_sha256": "39f7df09473d29e743b8dbdacc0cf0415469d31ac8adc6eea071a9c3862d4a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.03492",
    "kind": "arxiv",
    "version": 1
  }
}