Pith Number

pith:3V4AKV3F

pith:2025:3V4AKV3FGBGKRWAQKET7GP2NS2

not attested not anchored not stored refs pending

Two-sided Gaussian estimates for fundamental solutions of second-order parabolic equations in non-divergence form

Georgios Sakellaris, Seick Kim, Sungjin Lee

arxiv:2505.12659 v1 · 2025-05-19 · 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{3V4AKV3FGBGKRWAQKET7GP2NS2}

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	2026-07-03T01:17:11.479435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd78055765304ca8d8105127f33f4d96b4c27a58ac607fbe2ca9d72a2dc30d0f

Aliases

arxiv: 2505.12659 · arxiv_version: 2505.12659v1 · doi: 10.48550/arxiv.2505.12659 · pith_short_12: 3V4AKV3FGBGK · pith_short_16: 3V4AKV3FGBGKRWAQ · pith_short_8: 3V4AKV3F

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/3V4AKV3FGBGKRWAQKET7GP2NS2 \
  | 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: dd78055765304ca8d8105127f33f4d96b4c27a58ac607fbe2ca9d72a2dc30d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fab19b723123fb2c3f693cdb7a78059ca235a5602133e749d8bba5d7ae227cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-19T03:20:28Z",
    "title_canon_sha256": "84e6354c9802d17f6788f4e314a5b3bed88aaf747b906f2f26d9693a83db78e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12659",
    "kind": "arxiv",
    "version": 1
  }
}