Pith Number

pith:FMCA4KYN

pith:2015:FMCA4KYN2WRDEUTO2R3WDTF44X

not attested not anchored not stored refs pending

Lower bounds for nodal set of biharmonic Steklov problems

Jui-En Chang

arxiv:1506.02070 v2 · 2015-06-05 · 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{FMCA4KYN2WRDEUTO2R3WDTF44X}

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	2026-05-18T00:42:33.450092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b040e2b0dd5a232526ed47761ccbce5e5463b12278160b64f13da9ef091c7c9

Aliases

arxiv: 1506.02070 · arxiv_version: 1506.02070v2 · doi: 10.48550/arxiv.1506.02070 · pith_short_12: FMCA4KYN2WRD · pith_short_16: FMCA4KYN2WRDEUTO · pith_short_8: FMCA4KYN

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/FMCA4KYN2WRDEUTO2R3WDTF44X \
  | 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: 2b040e2b0dd5a232526ed47761ccbce5e5463b12278160b64f13da9ef091c7c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2635c07d4cdbc352e90183e2003cbe765e221b26fac9aa658b26ee01e40e0609",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-05T21:14:15Z",
    "title_canon_sha256": "d2352761149eab2c162a92eb8684a18d08d891a999d45bcc58ad37dd0d11cfd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02070",
    "kind": "arxiv",
    "version": 2
  }
}