Pith Number

pith:VRG27BHS

pith:2017:VRG27BHS2PYM4PSRLNRSR5APG6

not attested not anchored not stored refs pending

On the Liouville heat kernel for k-coarse MBRW and nonuniversality

Fuxi Zhang, Jian Ding, Ofer Zeitouni

arxiv:1701.01201 v1 · 2017-01-05 · 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{VRG27BHS2PYM4PSRLNRSR5APG6}

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	2026-05-18T00:53:20.194832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4daf84f2d3f0ce3e515b6328f40f378d348383a733ee9242a314151e9e1909

Aliases

arxiv: 1701.01201 · arxiv_version: 1701.01201v1 · doi: 10.48550/arxiv.1701.01201 · pith_short_12: VRG27BHS2PYM · pith_short_16: VRG27BHS2PYM4PSR · pith_short_8: VRG27BHS

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/VRG27BHS2PYM4PSRLNRSR5APG6 \
  | 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: ac4daf84f2d3f0ce3e515b6328f40f378d348383a733ee9242a314151e9e1909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1ffaec79f1445cafedce6d1a39535c4a83f23914cd50b1dca1c4a43677ba90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-05T03:38:42Z",
    "title_canon_sha256": "a06c405ec60467b330199cff7f6fa1561491f4c005b9ea43e2a119f84df0d381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01201",
    "kind": "arxiv",
    "version": 1
  }
}