Pith Number

pith:5DOZCBNO

pith:2014:5DOZCBNOHI32ZIWUROGBNER4PH

not attested not anchored not stored refs pending

Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities

Achiles Tertikas, Jean Dolbeault (CEREMADE), Maria J. Esteban (CEREMADE), Stathis Filippas

arxiv:1412.0608 v1 · 2014-12-01 · 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{5DOZCBNOHI32ZIWUROGBNER4PH}

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	2026-05-18T02:32:22.992175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8dd9105ae3a37aca2d48b8c16923c79dadb450d1953143d0c2c9a7cdbc01366

Aliases

arxiv: 1412.0608 · arxiv_version: 1412.0608v1 · doi: 10.48550/arxiv.1412.0608 · pith_short_12: 5DOZCBNOHI32 · pith_short_16: 5DOZCBNOHI32ZIWU · pith_short_8: 5DOZCBNO

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/5DOZCBNOHI32ZIWUROGBNER4PH \
  | 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: e8dd9105ae3a37aca2d48b8c16923c79dadb450d1953143d0c2c9a7cdbc01366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361abd4ac51615766c729e162a2f12cf28fc6795c7d2c98be5bea2b7f75d403c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-01T19:32:08Z",
    "title_canon_sha256": "f1495e2598a82ba472304d32f4a2d481271eb86c06d6a6ec5d858f2d3ff865fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0608",
    "kind": "arxiv",
    "version": 1
  }
}