Pith Number

pith:E2FXHDXD

pith:2016:E2FXHDXDV45IL5RX65PYVYRRHC

not attested not anchored not stored refs pending

Stability of heat kernel estimates for symmetric non-local Dirichlet forms

Jian Wang, Takashi Kumagai, Zhen-Qing Chen

arxiv:1604.04035 v3 · 2016-04-14 · math.PR · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2FXHDXDV45IL5RX65PYVYRRHC}

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	2026-05-18T00:34:35.424929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268b738ee3af3a85f637f75f8ae2313899a4bdba0198e2b8f595b1fefc67f757

Aliases

arxiv: 1604.04035 · arxiv_version: 1604.04035v3 · doi: 10.48550/arxiv.1604.04035 · pith_short_12: E2FXHDXDV45I · pith_short_16: E2FXHDXDV45IL5RX · pith_short_8: E2FXHDXD

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/E2FXHDXDV45IL5RX65PYVYRRHC \
  | 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: 268b738ee3af3a85f637f75f8ae2313899a4bdba0198e2b8f595b1fefc67f757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7fef9527c7b915b81fb105c315ba78870395154430c26b093e6d86ca8263c71",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-14T05:09:55Z",
    "title_canon_sha256": "4baf7038d8318d2e1db6e1ee5e2e034155884f915a8724df40118af472794b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04035",
    "kind": "arxiv",
    "version": 3
  }
}