Pith Number

pith:QEUSROU7

pith:2013:QEUSROU7KCKLIWTUGPEUMHRQFO

not attested not anchored not stored refs pending

Efficient sum-of-exponentials approximations for the heat kernel and their applications

Leslie Greengard, Shaobo Wang, Shidong Jiang

arxiv:1308.3883 v1 · 2013-08-18 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEUSROU7KCKLIWTUGPEUMHRQFO}

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	2026-05-18T03:15:42.267537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

812928ba9f5094b45a7433c9461e302b930d9278a10c8062f0fa4e0f8d3d1b12

Aliases

arxiv: 1308.3883 · arxiv_version: 1308.3883v1 · doi: 10.48550/arxiv.1308.3883 · pith_short_12: QEUSROU7KCKL · pith_short_16: QEUSROU7KCKLIWTU · pith_short_8: QEUSROU7

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/QEUSROU7KCKLIWTUGPEUMHRQFO \
  | 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: 812928ba9f5094b45a7433c9461e302b930d9278a10c8062f0fa4e0f8d3d1b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecfc8911c55c73083381d1e9ac7b754a97a61c635ea413046a77fdf8fc418511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-08-18T18:22:18Z",
    "title_canon_sha256": "cf02f7cc7f4ddf2d6dc58ae6f355a1f7661372d1e084991801a9b0d7c2ce4814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3883",
    "kind": "arxiv",
    "version": 1
  }
}