Pith Number

pith:MPFAUPZY

pith:2013:MPFAUPZYEFGB52FC5YJXTCTTN4

not attested not anchored not stored refs pending

The magnetic Laplacian in shrinking tubular neighbourhoods of hypersurfaces

David Krejcirik, Matej Tusek, Nicolas Raymond

arxiv:1303.4753 v1 · 2013-03-19 · math-ph · math.DG · 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{MPFAUPZYEFGB52FC5YJXTCTTN4}

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	2026-05-18T01:25:24.888656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ca0a3f38214c1ee8a2ee13798a736f0861a7404f8c973217d7da50cba63201

Aliases

arxiv: 1303.4753 · arxiv_version: 1303.4753v1 · doi: 10.48550/arxiv.1303.4753 · pith_short_12: MPFAUPZYEFGB · pith_short_16: MPFAUPZYEFGB52FC · pith_short_8: MPFAUPZY

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/MPFAUPZYEFGB52FC5YJXTCTTN4 \
  | 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: 63ca0a3f38214c1ee8a2ee13798a736f0861a7404f8c973217d7da50cba63201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54cee3e13d6fad84dff7182f695121c3227b3e3ca62f9d3a4d1714c1fa81a406",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-19T20:27:16Z",
    "title_canon_sha256": "0209dd888e41592395226648114f4341f46de3231fa6517e25209b60e92cf23a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4753",
    "kind": "arxiv",
    "version": 1
  }
}