Pith Number

pith:AU4GZ5L7

pith:2017:AU4GZ5L7ZS2GK3NU2WZDI7IDD4

not attested not anchored not stored refs pending

Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schr\"odinger operators

Hongyu Liu, Xinlin Cao, Yi-Hsuan Lin

arxiv:1712.00937 v2 · 2017-12-04 · 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{AU4GZ5L7ZS2GK3NU2WZDI7IDD4}

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	2026-05-18T00:28:29.287812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05386cf57fccb4656db4d5b2347d031f38d485668903dff89ab0decd0b86d544

Aliases

arxiv: 1712.00937 · arxiv_version: 1712.00937v2 · doi: 10.48550/arxiv.1712.00937 · pith_short_12: AU4GZ5L7ZS2G · pith_short_16: AU4GZ5L7ZS2GK3NU · pith_short_8: AU4GZ5L7

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/AU4GZ5L7ZS2GK3NU2WZDI7IDD4 \
  | 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: 05386cf57fccb4656db4d5b2347d031f38d485668903dff89ab0decd0b86d544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d323eefc7c871f64c1b094bd0f06777b693f9b1d532ec951e26f76351fadd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-04T07:31:30Z",
    "title_canon_sha256": "25af21e9da7125073871f70f582bb6153f80328c411f23528f2a4c6a9531fc46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00937",
    "kind": "arxiv",
    "version": 2
  }
}