Pith Number

pith:KDODFVPY

pith:2015:KDODFVPYYRT2HVOGRCRJV47Y7S

not attested not anchored not stored refs pending

Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances

Ruojun Huang, Takashi Kumagai

arxiv:1506.02193 v2 · 2015-06-06 · 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{KDODFVPYYRT2HVOGRCRJV47Y7S}

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	2026-05-18T01:29:45.792236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50dc32d5f8c467a3d5c688a29af3f8fcb522ce1f4a5ffdadab49385cf0cdb15d

Aliases

arxiv: 1506.02193 · arxiv_version: 1506.02193v2 · doi: 10.48550/arxiv.1506.02193 · pith_short_12: KDODFVPYYRT2 · pith_short_16: KDODFVPYYRT2HVOG · pith_short_8: KDODFVPY

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/KDODFVPYYRT2HVOGRCRJV47Y7S \
  | 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: 50dc32d5f8c467a3d5c688a29af3f8fcb522ce1f4a5ffdadab49385cf0cdb15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "392348cbee09f309bd7be053700c38a57089d6ec45dee5e53e91aaec310d0481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-06T21:16:58Z",
    "title_canon_sha256": "48c7c587d41c73923bd175f71fff7802f71062513d59419a11a1d84c91596d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02193",
    "kind": "arxiv",
    "version": 2
  }
}