Pith Number

pith:Y4C3U7X4

pith:2016:Y4C3U7X47HXLUP2PSKTUUNRQRN

not attested not anchored not stored refs pending

$L^p-L^q$ Carleman estimates with convex power weights

Themis Mitsis

arxiv:1609.02779 v2 · 2016-09-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4C3U7X47HXLUP2PSKTUUNRQRN}

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	2026-05-18T01:02:20.473384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c705ba7efcf9eeba3f4f92a74a36308b60fe071022d4cb2a07fcd122defbd697

Aliases

arxiv: 1609.02779 · arxiv_version: 1609.02779v2 · doi: 10.48550/arxiv.1609.02779 · pith_short_12: Y4C3U7X47HXL · pith_short_16: Y4C3U7X47HXLUP2P · pith_short_8: Y4C3U7X4

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/Y4C3U7X47HXLUP2PSKTUUNRQRN \
  | 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: c705ba7efcf9eeba3f4f92a74a36308b60fe071022d4cb2a07fcd122defbd697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7ce4f4f14cc20c26315aab9cc0f91775f4a350d8608c2b16ee855622cf4b17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-09T13:17:30Z",
    "title_canon_sha256": "800600ee0e940a8e17c404625170f48996d147a128d215ed3ad432ef062f05e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02779",
    "kind": "arxiv",
    "version": 2
  }
}