Pith Number

pith:KHZC3OM6

pith:2026:KHZC3OM67SRAPVS2DUSORIIJ53

not attested not anchored not stored refs pending

Integral Harnack estimates and the rate of extinction of singular fractional diffusion

Antonio Iannizzotto, Filippo M. Cassanello, Simone Ciani

arxiv:2602.07647 v2 · 2026-02-07 · 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{KHZC3OM67SRAPVS2DUSORIIJ53}

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	2026-06-08T01:03:58.277642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f22db99efca207d65a1d24e8a109eeec7bdf2cc30c56812ba9f8b1742a34c0

Aliases

arxiv: 2602.07647 · arxiv_version: 2602.07647v2 · doi: 10.48550/arxiv.2602.07647 · pith_short_12: KHZC3OM67SRA · pith_short_16: KHZC3OM67SRAPVS2 · pith_short_8: KHZC3OM6

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/KHZC3OM67SRAPVS2DUSORIIJ53 \
  | 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: 51f22db99efca207d65a1d24e8a109eeec7bdf2cc30c56812ba9f8b1742a34c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2816f3871ad6624426373bb83dcd626e2c949265bea87b0e1b04408dcb99dec9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-02-07T18:08:43Z",
    "title_canon_sha256": "2f2b8bf08db3095175eccfbc095831ce2fcc7a57a6da37514a320e986592a73b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.07647",
    "kind": "arxiv",
    "version": 2
  }
}