Pith Number

pith:V63GEGRU

pith:2023:V63GEGRUPN2EATQ6RM2QW5FMWS

not attested not anchored not stored refs pending

On the Lipschitz continuity of the heat kernel

Delio Mugnolo, Patrizio Bifulco

arxiv:2307.08889 v3 · 2023-07-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V63GEGRUPN2EATQ6RM2QW5FMWS}

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.

Cited by

1 paper in Pith

On the heat content of compact quantum graphs

Receipt and verification

First computed	2026-07-05T07:34:34.317144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb6621a347b74404e1e8b350b74acb4b414df448521b0345051d4d5a404680e

Aliases

arxiv: 2307.08889 · arxiv_version: 2307.08889v3 · doi: 10.48550/arxiv.2307.08889 · pith_short_12: V63GEGRUPN2E · pith_short_16: V63GEGRUPN2EATQ6 · pith_short_8: V63GEGRU

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/V63GEGRUPN2EATQ6RM2QW5FMWS \
  | 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: afb6621a347b74404e1e8b350b74acb4b414df448521b0345051d4d5a404680e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9437f1214059a60cbd4b4dad32e94fe8bfbdc5b24f9b317fe2783ff18ad066",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-07-17T23:20:32Z",
    "title_canon_sha256": "204765fe1722004e2e33c7a20b98e139a993e488f7d35535145bab54bc8e25d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.08889",
    "kind": "arxiv",
    "version": 3
  }
}