Pith Number

pith:PD3QC2MK

pith:2014:PD3QC2MKQHZ2RN2YLZTXD6TGUI

not attested not anchored not stored refs pending

Quantitative unique continuation principle for Schr\"odinger Operators with Singular Potentials

Abel Klein, C.S. Sidney Tsang

arxiv:1408.1992 v2 · 2014-08-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PD3QC2MKQHZ2RN2YLZTXD6TGUI}

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	2026-05-18T02:29:10.766145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f701698a81f3a8b7585e6771fa66a214c561feccfe2c18ad14f1af4c147f25

Aliases

arxiv: 1408.1992 · arxiv_version: 1408.1992v2 · doi: 10.48550/arxiv.1408.1992 · pith_short_12: PD3QC2MKQHZ2 · pith_short_16: PD3QC2MKQHZ2RN2Y · pith_short_8: PD3QC2MK

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/PD3QC2MKQHZ2RN2YLZTXD6TGUI \
  | 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: 78f701698a81f3a8b7585e6771fa66a214c561feccfe2c18ad14f1af4c147f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "382104114a3aca2283c0d64131360ec17482d92114c09c74c0cbe0e473144727",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-08T22:52:10Z",
    "title_canon_sha256": "ae7b41200fd29a8f7c6b030cc41bcf2232f4c86aed5342d03099e06ae9861cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1992",
    "kind": "arxiv",
    "version": 2
  }
}