Pith Number

pith:5NMVWUOT

pith:2026:5NMVWUOT2ZYP2CUWQMJTND7GU6

not attested not anchored not stored refs pending

On the $L^{2}$ estimates of the diffusion waves

Hiroshi Takeda, Ryo Ikehata

arxiv:2605.20557 v1 · 2026-05-19 · 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{5NMVWUOT2ZYP2CUWQMJTND7GU6}

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	2026-05-21T01:04:42.371278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb595b51d3d670fd0a968313368fe6a78e6e025ed78e4b01f8fb5a6ddf571fc9

Aliases

arxiv: 2605.20557 · arxiv_version: 2605.20557v1 · doi: 10.48550/arxiv.2605.20557 · pith_short_12: 5NMVWUOT2ZYP · pith_short_16: 5NMVWUOT2ZYP2CUW · pith_short_8: 5NMVWUOT

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/5NMVWUOT2ZYP2CUWQMJTND7GU6 \
  | 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: eb595b51d3d670fd0a968313368fe6a78e6e025ed78e4b01f8fb5a6ddf571fc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f1bc453851a6f295721422b1751856d34ef78981c890c070d0690c6184495f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-19T23:17:08Z",
    "title_canon_sha256": "9d25e39a85f363a44aac65c7e1e96c701bf807201bdca6866c119c8aa31b81a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20557",
    "kind": "arxiv",
    "version": 1
  }
}