Pith Number

pith:46GD3A6M

pith:2016:46GD3A6MXMLDTXRRFXWIE6F7MJ

not attested not anchored not stored refs pending

Characterization of sharp global Gaussian estimates for Schr\"odinger heat kernels

Jacek Dziuba\'nski, Karol Szczypkowski, Krzysztof Bogdan

arxiv:1606.03745 v1 · 2016-06-12 · math.FA · 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{46GD3A6MXMLDTXRRFXWIE6F7MJ}

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	2026-05-18T01:12:33.161228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e78c3d83ccbb1639de312dec8278bf624b85e122c1879a9f9b8d0ba14db75bfe

Aliases

arxiv: 1606.03745 · arxiv_version: 1606.03745v1 · doi: 10.48550/arxiv.1606.03745 · pith_short_12: 46GD3A6MXMLD · pith_short_16: 46GD3A6MXMLDTXRR · pith_short_8: 46GD3A6M

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/46GD3A6MXMLDTXRRFXWIE6F7MJ \
  | 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: e78c3d83ccbb1639de312dec8278bf624b85e122c1879a9f9b8d0ba14db75bfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09cec03b66f7a41c5688438c008f8d8c0b295b46069ee2ee8526522f85b58be9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-12T18:03:02Z",
    "title_canon_sha256": "ab12c9a4af581d57882b67fbf04e81bbbcd02ebbef7f0223adbbb92c1ce71594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03745",
    "kind": "arxiv",
    "version": 1
  }
}