Pith Number

pith:5T32XFE7

pith:2026:5T32XFE7Y7RUM4L6OOFX44KVEA

not attested not anchored not stored refs pending

On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data

Ryunosuke Kusaba, Yi C. Huang

arxiv:2607.05158 v1 · 2026-07-06 · 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{5T32XFE7Y7RUM4L6OOFX44KVEA}

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	2026-07-07T03:19:18.222540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf7ab949fc7e346717e738b7e71552039ac180ae13407666b1dd91d26063e40

Aliases

arxiv: 2607.05158 · arxiv_version: 2607.05158v1 · doi: 10.48550/arxiv.2607.05158 · pith_short_12: 5T32XFE7Y7RU · pith_short_16: 5T32XFE7Y7RUM4L6 · pith_short_8: 5T32XFE7

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/5T32XFE7Y7RUM4L6OOFX44KVEA \
  | 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: ecf7ab949fc7e346717e738b7e71552039ac180ae13407666b1dd91d26063e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e073b53fcb728e30644b71269ff6fd11bbe19f9e57d1f08a7515659b834f092",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-06T14:42:25Z",
    "title_canon_sha256": "68b7088ae3818fee8a9278b1a1c387ad9e5147712db88c1169f5f03636426bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05158",
    "kind": "arxiv",
    "version": 1
  }
}