Pith Number

pith:IOE3U22J

pith:2016:IOE3U22JZFDEIQ2WF3KTECZJPK

not attested not anchored not stored refs pending

Schroedinger operators on exterior domains with Robin boundary conditions: heat kernel estimates

Delio Mugnolo, Hynek Kovarik

arxiv:1604.02436 v1 · 2016-04-08 · math.SP · math-ph · math.AP · 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{IOE3U22JZFDEIQ2WF3KTECZJPK}

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	2026-05-18T00:01:10.771871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4389ba6b49c9464443562ed5320b297ab2f1d2028ef84bc4c21ccb852db81a2c

Aliases

arxiv: 1604.02436 · arxiv_version: 1604.02436v1 · doi: 10.48550/arxiv.1604.02436 · pith_short_12: IOE3U22JZFDE · pith_short_16: IOE3U22JZFDEIQ2W · pith_short_8: IOE3U22J

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/IOE3U22JZFDEIQ2WF3KTECZJPK \
  | 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: 4389ba6b49c9464443562ed5320b297ab2f1d2028ef84bc4c21ccb852db81a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "963ae610aaa5733308d1796198cf33b2e10736a7120001576fef3a2658ea79cb",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-04-08T19:34:01Z",
    "title_canon_sha256": "ec19c57f18b1576df7f5db80dd8a00d95797d2d9ded8c98c8cb7a4d74df45a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02436",
    "kind": "arxiv",
    "version": 1
  }
}