Pith Number

pith:FKOGTSQB

pith:2017:FKOGTSQB5QECSIUNK7OOFOXQI7

not attested not anchored not stored refs pending

Point-wise estimates for nonlocal heat kernel of convolution type operators

Alexander Grigoryan, Andrey Piatnitski, Elena Zhizhina, Yury Kondratiev

arxiv:1707.06709 v2 · 2017-07-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKOGTSQB5QECSIUNK7OOFOXQI7}

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	2026-05-18T00:17:43.253951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9c69ca01ec0829228d57dce2baf047ef3fc182ec54d26ccf64618d5d226fe7

Aliases

arxiv: 1707.06709 · arxiv_version: 1707.06709v2 · doi: 10.48550/arxiv.1707.06709 · pith_short_12: FKOGTSQB5QEC · pith_short_16: FKOGTSQB5QECSIUN · pith_short_8: FKOGTSQB

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/FKOGTSQB5QECSIUNK7OOFOXQI7 \
  | 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: 2a9c69ca01ec0829228d57dce2baf047ef3fc182ec54d26ccf64618d5d226fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97a22d5b76f9da287d81845e4ec925a6429377b7c1923cf17d2f48639d6b0bca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-20T21:23:57Z",
    "title_canon_sha256": "d7746ac029e687029777b501634d7e83159d27229d15450fa9245018fefcddb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06709",
    "kind": "arxiv",
    "version": 2
  }
}