Pith Number

pith:FS2Q2WRY

pith:2011:FS2Q2WRYBZXLP6LPMO3UN5X4WR

not attested not anchored not stored refs pending

The improved decay rate for the heat semigroup with local magnetic field in the plane

David Krejcirik

arxiv:1101.1806 v1 · 2011-01-10 · math.AP · 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{FS2Q2WRYBZXLP6LPMO3UN5X4WR}

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	2026-05-18T03:17:14.982513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb50d5a380e6eb7f96f63b746f6fcb45f92c2692d8de1af588fc3a1b07f8306

Aliases

arxiv: 1101.1806 · arxiv_version: 1101.1806v1 · doi: 10.48550/arxiv.1101.1806 · pith_short_12: FS2Q2WRYBZXL · pith_short_16: FS2Q2WRYBZXLP6LP · pith_short_8: FS2Q2WRY

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/FS2Q2WRYBZXLP6LPMO3UN5X4WR \
  | 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: 2cb50d5a380e6eb7f96f63b746f6fcb45f92c2692d8de1af588fc3a1b07f8306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66882ddf4a9b19304262b0e2dd355d885a0e704c6ec6b38155dd88da0e145066",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-10T13:22:37Z",
    "title_canon_sha256": "294a805fa2db514a1196141ddc42fdb283df04799456be038650aa1d55f7410d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1806",
    "kind": "arxiv",
    "version": 1
  }
}