Pith Number

pith:Z3ONAO7Q

pith:2016:Z3ONAO7QXBAK4EIBCJ2KQNGFZN

not attested not anchored not stored refs pending

The heat kernel of a Schr\"odinger operator with inverse square potential

El Maati Ouhabaz (UB), Kazuhiro Ishige, Yoshitsugu Kabeya

arxiv:1602.04172 v1 · 2016-02-12 · 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{Z3ONAO7QXBAK4EIBCJ2KQNGFZN}

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	2026-05-18T00:44:24.914203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cedcd03bf0b840ae11011274a834c5cb57c76c92b39f7b04bf2446fb50616b44

Aliases

arxiv: 1602.04172 · arxiv_version: 1602.04172v1 · doi: 10.48550/arxiv.1602.04172 · pith_short_12: Z3ONAO7QXBAK · pith_short_16: Z3ONAO7QXBAK4EIB · pith_short_8: Z3ONAO7Q

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/Z3ONAO7QXBAK4EIBCJ2KQNGFZN \
  | 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: cedcd03bf0b840ae11011274a834c5cb57c76c92b39f7b04bf2446fb50616b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "422d1ea80836c2bfa979d12a79ab217cccb4579dacc8d06d1ef2dbb7c66fadb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-12T19:15:37Z",
    "title_canon_sha256": "0cd7633f01e28e46f5c62a759b390895d6f83f07a92a4cdc946b0312252d10de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04172",
    "kind": "arxiv",
    "version": 1
  }
}