Pith Number

pith:AWVTMKCV

pith:2018:AWVTMKCV2HIIPUEBKTKHFXUG5U

not attested not anchored not stored refs pending

Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities

Jian Wang, Takashi Kumagai, Xin Chen

arxiv:1808.02178 v1 · 2018-08-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWVTMKCV2HIIPUEBKTKHFXUG5U}

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	2026-05-18T00:08:47.341758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05ab362855d1d087d08154d472de86ed252135632c6aad9e17f5a865cdb7e3af

Aliases

arxiv: 1808.02178 · arxiv_version: 1808.02178v1 · doi: 10.48550/arxiv.1808.02178 · pith_short_12: AWVTMKCV2HII · pith_short_16: AWVTMKCV2HIIPUEB · pith_short_8: AWVTMKCV

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/AWVTMKCV2HIIPUEBKTKHFXUG5U \
  | 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: 05ab362855d1d087d08154d472de86ed252135632c6aad9e17f5a865cdb7e3af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe33fb2d9518427f53560355bd7ecdc9ab2706aeef5a018105a9ea235e62d163",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-07T01:45:49Z",
    "title_canon_sha256": "99e3c03d9172e9d9d9f91cc5b4a4cb8b0a8e609a9096da67ac94c5bd77e6027d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02178",
    "kind": "arxiv",
    "version": 1
  }
}