Pith Number

pith:QLDC27YT

pith:2015:QLDC27YTMGWO7T6P65LHXJN3QM

not attested not anchored not stored refs pending

Rate functions for symmetric markov processes via heat kernel

Jian Wang, Yuichi Shiozawa

arxiv:1508.07422 v1 · 2015-08-29 · 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{QLDC27YTMGWO7T6P65LHXJN3QM}

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	2026-05-18T01:34:32.355809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c62d7f1361acefcfcff7567ba5bb832ddc33544de0c2d898e4d29a4d96b0a1

Aliases

arxiv: 1508.07422 · arxiv_version: 1508.07422v1 · doi: 10.48550/arxiv.1508.07422 · pith_short_12: QLDC27YTMGWO · pith_short_16: QLDC27YTMGWO7T6P · pith_short_8: QLDC27YT

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/QLDC27YTMGWO7T6P65LHXJN3QM \
  | 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: 82c62d7f1361acefcfcff7567ba5bb832ddc33544de0c2d898e4d29a4d96b0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24006616441ed3428795ecc64d033d04a5360e7be0808807999b40d1d3d8671c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-29T09:35:45Z",
    "title_canon_sha256": "19c6a7ac91403a9756f515178c9eec0915e843a681c06092b817a47c23f67e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07422",
    "kind": "arxiv",
    "version": 1
  }
}