Pith Number

pith:XBUSRFIV

pith:2019:XBUSRFIVOGEVASOXFBPMOKAC5W

not attested not anchored not stored refs pending

On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems

Hongyu Liu, Huaian Diao, Jun Zou, Xinlin Cao

arxiv:1902.05798 v4 · 2019-02-15 · math.AP · 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{XBUSRFIVOGEVASOXFBPMOKAC5W}

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	2026-05-17T23:41:57.967845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b86928951571895049d7285ec72802ed96151f8e61f2ecca2b200114d7813514

Aliases

arxiv: 1902.05798 · arxiv_version: 1902.05798v4 · doi: 10.48550/arxiv.1902.05798 · pith_short_12: XBUSRFIVOGEV · pith_short_16: XBUSRFIVOGEVASOX · pith_short_8: XBUSRFIV

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/XBUSRFIVOGEVASOXFBPMOKAC5W \
  | 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: b86928951571895049d7285ec72802ed96151f8e61f2ecca2b200114d7813514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c4ebf40b28d13ec38814ad9f1e0184638b2c08bcceaa84aaf28ddfc489b273",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-15T12:56:16Z",
    "title_canon_sha256": "29145de1c097fd693ebeafc85c18d843b7bbf16f0edda1152e5e82eba6766f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05798",
    "kind": "arxiv",
    "version": 4
  }
}