Pith Number

pith:D33UO53U

pith:2019:D33UO53U2LYXDXW2VTKCLU34Y4

not attested not anchored not stored refs pending

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds

Genqian Liu

arxiv:1908.05096 v3 · 2019-08-14 · math.AP · math-ph · math.DG · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D33UO53U2LYXDXW2VTKCLU34Y4}

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	2026-07-05T04:27:03.093126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef7477774d2f171dedaacd425d37cc706a3577d9c858688c5bba4a23eb7f8b4

Aliases

arxiv: 1908.05096 · arxiv_version: 1908.05096v3 · doi: 10.48550/arxiv.1908.05096 · pith_short_12: D33UO53U2LYX · pith_short_16: D33UO53U2LYXDXW2 · pith_short_8: D33UO53U

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/D33UO53U2LYXDXW2VTKCLU34Y4 \
  | 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: 1ef7477774d2f171dedaacd425d37cc706a3577d9c858688c5bba4a23eb7f8b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a310c2bd8c1089cbb57385175ba7f52ea6a63fda34fca89b42c466b2930266d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-14T12:29:03Z",
    "title_canon_sha256": "e1c9f41450d59f1a1502d0b32c43ca95f0c564dbe29db45e6023b5a1ce002288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05096",
    "kind": "arxiv",
    "version": 3
  }
}