Pith Number

pith:DTN45W2S

pith:2025:DTN45W2SO52CY4XZPCEPRNLG5K

not attested not anchored not stored refs pending

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion

Kenshiro Tashiro, Kohei Suzuki

arxiv:2506.04424 v1 · 2025-06-04 · math.PR · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTN45W2SO52CY4XZPCEPRNLG5K}

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	2026-07-05T11:16:14.116460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cdbcedb5277742c72f97888f8b566ea997c7ff6267a15f16b467f89dd40497c

Aliases

arxiv: 2506.04424 · arxiv_version: 2506.04424v1 · doi: 10.48550/arxiv.2506.04424 · pith_short_12: DTN45W2SO52C · pith_short_16: DTN45W2SO52CY4XZ · pith_short_8: DTN45W2S

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/DTN45W2SO52CY4XZPCEPRNLG5K \
  | 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: 1cdbcedb5277742c72f97888f8b566ea997c7ff6267a15f16b467f89dd40497c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f230e94dd19b3f12909494f59d22ea6b5d1e78cf321f6e63bce93f4295a225db",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-04T20:17:36Z",
    "title_canon_sha256": "f596bcbd5fd2971979db1bcb3d066a67c5d5f4c48317a0fbaf128578bc6fe332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04424",
    "kind": "arxiv",
    "version": 1
  }
}