Pith Number

pith:FZ6YBWZU

pith:2011:FZ6YBWZUN63HAUXUFG6IHZQFHK

not attested not anchored not stored refs pending

Regularity properties of Schr\"odinger operators

Chao Zhang, J. L. Torrea, P. R. Stinga, Tao Ma

arxiv:1107.0184 v2 · 2011-07-01 · math.AP · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ6YBWZUN63HAUXUFG6IHZQFHK}

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	2026-05-18T04:11:41.609352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7d80db346fb67052f429bc83e6053ab0fbbd44732920baef527feac43839c6

Aliases

arxiv: 1107.0184 · arxiv_version: 1107.0184v2 · doi: 10.48550/arxiv.1107.0184 · pith_short_12: FZ6YBWZUN63H · pith_short_16: FZ6YBWZUN63HAUXU · pith_short_8: FZ6YBWZU

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/FZ6YBWZUN63HAUXUFG6IHZQFHK \
  | 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: 2e7d80db346fb67052f429bc83e6053ab0fbbd44732920baef527feac43839c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e94e1ae24cb9566eecacbdd1edd183a8ce984ac1ce77b0366c81690df927dbb",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-01T10:25:18Z",
    "title_canon_sha256": "351e21ea6eb2015ac8ee803353761ce2405cb10825a58dd53a60576591358c6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0184",
    "kind": "arxiv",
    "version": 2
  }
}