Pith Number

pith:XKXCDG3T

pith:2026:XKXCDG3TZABNNXUGFSCQEAZ774

not attested not anchored not stored refs pending

Anchored Nash inequalities and heat kernel bounds for a class of random conductance models with long-range jumps

Kun Yin, Martin Slowik, Sebastian Andres, Xin Chen

arxiv:2607.14718 v1 · 2026-07-16 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKXCDG3TZABNNXUGFSCQEAZ774}

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	2026-07-17T01:21:27.337154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baae219b73c802d6de862c8502033fff2b358becafd1ed592de69d5dd7341c04

Aliases

arxiv: 2607.14718 · arxiv_version: 2607.14718v1 · doi: 10.48550/arxiv.2607.14718 · pith_short_12: XKXCDG3TZABN · pith_short_16: XKXCDG3TZABNNXUG · pith_short_8: XKXCDG3T

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/XKXCDG3TZABNNXUGFSCQEAZ774 \
  | 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: baae219b73c802d6de862c8502033fff2b358becafd1ed592de69d5dd7341c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efcf8824fd75dcc61f33680ba68fd5b200886ffef34d59404d414756f4ed3e9e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-16T08:35:48Z",
    "title_canon_sha256": "3e0bfcdf395470c938c2c9408d2fd1d3388f632c046e843f3df1d6192d8f1282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14718",
    "kind": "arxiv",
    "version": 1
  }
}