Pith Number

pith:6HHCKKI4

pith:2025:6HHCKKI4RDQKDT7NCT6CRMP3OO

not attested not anchored not stored refs pending

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds

Fabio Punzo

arxiv:2505.24368 v1 · 2025-05-30 · 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{6HHCKKI4RDQKDT7NCT6CRMP3OO}

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	2026-07-05T11:12:47.764850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ce25291c88e0a1cfed14fc28b1fb73b28488fbcae52fda7d7181ba6a82c87c

Aliases

arxiv: 2505.24368 · arxiv_version: 2505.24368v1 · doi: 10.48550/arxiv.2505.24368 · pith_short_12: 6HHCKKI4RDQK · pith_short_16: 6HHCKKI4RDQKDT7N · pith_short_8: 6HHCKKI4

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/6HHCKKI4RDQKDT7NCT6CRMP3OO \
  | 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: f1ce25291c88e0a1cfed14fc28b1fb73b28488fbcae52fda7d7181ba6a82c87c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d7e1d83066858a698bdc77dfd3f41a3898f00f5b9014cd7db3d9954085b5aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-30T09:02:03Z",
    "title_canon_sha256": "ea6cbba1a1789cfd089cb801f4f1e104ebf3b14c53e3d38b30ebaa2b57e88b56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24368",
    "kind": "arxiv",
    "version": 1
  }
}