Pith Number

pith:MHOVO2J3

pith:2018:MHOVO2J3UMZFJNOQRJR224NBMJ

not attested not anchored not stored refs pending

Gradient and Hessian Estimates for Dirichlet and Neumann Eigenfunctions

Feng-Yu Wang

arxiv:1803.04233 v4 · 2018-03-12 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHOVO2J3UMZFJNOQRJR224NBMJ}

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	2026-05-18T00:11:17.722262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61dd57693ba33254b5d08a63ad71a16259bb8b5639531e620ad3b254536242bd

Aliases

arxiv: 1803.04233 · arxiv_version: 1803.04233v4 · doi: 10.48550/arxiv.1803.04233 · pith_short_12: MHOVO2J3UMZF · pith_short_16: MHOVO2J3UMZFJNOQ · pith_short_8: MHOVO2J3

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/MHOVO2J3UMZFJNOQRJR224NBMJ \
  | 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: 61dd57693ba33254b5d08a63ad71a16259bb8b5639531e620ad3b254536242bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bdf08592851d595eeb26ac67c5f979619548063587b748350747af3f09ed8ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-12T13:06:54Z",
    "title_canon_sha256": "9bec5f2a109ce7e33167e69f942fbb2adbdf755fd36e7347df73c389ecb5fbc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04233",
    "kind": "arxiv",
    "version": 4
  }
}