Pith Number

pith:GNDE4YIB

pith:2016:GNDE4YIBCPVTKANLHJ7IGIAACR

not attested not anchored not stored refs pending

Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities

Jean Dolbeault (CEREMADE), Maria J. Esteban (CEREMADE), Matteo Muratori, Michael Loss

arxiv:1605.06373 v1 · 2016-05-20 · 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{GNDE4YIBCPVTKANLHJ7IGIAACR}

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	2026-05-18T01:14:19.082569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33464e610113eb3501ab3a7e83200014679d4d39b16b0943395c8a4bd8bc77ea

Aliases

arxiv: 1605.06373 · arxiv_version: 1605.06373v1 · doi: 10.48550/arxiv.1605.06373 · pith_short_12: GNDE4YIBCPVT · pith_short_16: GNDE4YIBCPVTKANL · pith_short_8: GNDE4YIB

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/GNDE4YIBCPVTKANLHJ7IGIAACR \
  | 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: 33464e610113eb3501ab3a7e83200014679d4d39b16b0943395c8a4bd8bc77ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "473fd38ffe55c6b10ea9e81dc46274a77a4b3039ac43375d664a5524db8bcffa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-20T14:25:19Z",
    "title_canon_sha256": "8d98b1c42411dd51bbab77116146ba5dbc8bf4f3589f883bd20ea1f40c011ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06373",
    "kind": "arxiv",
    "version": 1
  }
}