Pith Number

pith:2YWWZQXR

pith:2025:2YWWZQXRJFDCWQCYQ7J32T7QVY

not attested not anchored not stored refs pending

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change

Alberto Roncoroni, Alexander Grigor'yan, Giulia Meglioli

arxiv:2507.13230 v1 · 2025-07-17 · 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{2YWWZQXRJFDCWQCYQ7J32T7QVY}

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	2026-07-05T11:38:56.702638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d62d6cc2f149462b405887d3bd4ff0ae04bde22548a329b6a5201fad029db571

Aliases

arxiv: 2507.13230 · arxiv_version: 2507.13230v1 · doi: 10.48550/arxiv.2507.13230 · pith_short_12: 2YWWZQXRJFDC · pith_short_16: 2YWWZQXRJFDCWQCY · pith_short_8: 2YWWZQXR

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/2YWWZQXRJFDCWQCYQ7J32T7QVY \
  | 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: d62d6cc2f149462b405887d3bd4ff0ae04bde22548a329b6a5201fad029db571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b22b611438745358430213d96832d1cd4323c66b3782615c70d3d7bdc45198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-17T15:40:42Z",
    "title_canon_sha256": "0a57611c3010bbda03f187b309936d2ee567be1f5c8f61999e3cba5f5801b9db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13230",
    "kind": "arxiv",
    "version": 1
  }
}