Pith Number

pith:I5MTJOVK

pith:2010:I5MTJOVKIF2MKW3LPGKK2ZQK7J

not attested not anchored not stored refs pending

Large time behavior of the heat kernel of two-dimensional magnetic Schroedinger operators

Hynek Kovarik

arxiv:1007.1851 v1 · 2010-07-12 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5MTJOVKIF2MKW3LPGKK2ZQK7J}

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	2026-05-18T04:18:04.607977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475934baaa4174c55b6b7994ad660afa595ea20e336d03ad4787f42d89dfc486

Aliases

arxiv: 1007.1851 · arxiv_version: 1007.1851v1 · doi: 10.48550/arxiv.1007.1851 · pith_short_12: I5MTJOVKIF2M · pith_short_16: I5MTJOVKIF2MKW3L · pith_short_8: I5MTJOVK

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/I5MTJOVKIF2MKW3LPGKK2ZQK7J \
  | 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: 475934baaa4174c55b6b7994ad660afa595ea20e336d03ad4787f42d89dfc486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834f80c7b1f4eba205f9f10d360ce66f2a2697523a2cfe760756cc0382332724",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-12T09:35:20Z",
    "title_canon_sha256": "b16d4cc9828654c0015ac6dcbdcda3dfd0d4f527bdbe49732937d4a8e6588ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1851",
    "kind": "arxiv",
    "version": 1
  }
}