Pith Number

pith:S7GU7FCG

pith:2019:S7GU7FCGX5VXVACHEKRGE222XP

not attested not anchored not stored refs pending

Estimates of Dirichlet Eigenvalues for a Class of Sub-elliptic Operators

Hongge Chen, Hua Chen

arxiv:1905.13373 v1 · 2019-05-31 · 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{S7GU7FCGX5VXVACHEKRGE222XP}

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	2026-05-17T23:44:35.126334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97cd4f9446bf6b7a804722a2626b5abbce42e92164d4e17af1099db4d1b21b4e

Aliases

arxiv: 1905.13373 · arxiv_version: 1905.13373v1 · doi: 10.48550/arxiv.1905.13373 · pith_short_12: S7GU7FCGX5VX · pith_short_16: S7GU7FCGX5VXVACH · pith_short_8: S7GU7FCG

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/S7GU7FCGX5VXVACHEKRGE222XP \
  | 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: 97cd4f9446bf6b7a804722a2626b5abbce42e92164d4e17af1099db4d1b21b4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552c75578d8fda22459d8d990dfab281cea6d5ab3045ada4e91d4df3c4fe1314",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-31T01:34:52Z",
    "title_canon_sha256": "2ec5fed1f757f40601da8005c49c61ac47b0648422c04fa9f8a1e8c6caacc65a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13373",
    "kind": "arxiv",
    "version": 1
  }
}