Pith Number

pith:FSNHTXL5

pith:2010:FSNHTXL5PIHG2FXFHZ3YCTKJD3

not attested not anchored not stored refs pending

Radial symmetry and symmetry breaking for some interpolation inequalities

Achiles Tertikas, Gabriella Tarantello, Jean Dolbeault (CEREMADE), Maria J. Esteban (CEREMADE)

arxiv:1009.2138 v1 · 2010-09-11 · 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{FSNHTXL5PIHG2FXFHZ3YCTKJD3}

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	2026-05-18T04:06:08.076257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c9a79dd7d7a0e6d16e53e77814d491ee60f02f807c94ff8b4a8391d28e9aa99

Aliases

arxiv: 1009.2138 · arxiv_version: 1009.2138v1 · doi: 10.48550/arxiv.1009.2138 · pith_short_12: FSNHTXL5PIHG · pith_short_16: FSNHTXL5PIHG2FXF · pith_short_8: FSNHTXL5

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/FSNHTXL5PIHG2FXFHZ3YCTKJD3 \
  | 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: 2c9a79dd7d7a0e6d16e53e77814d491ee60f02f807c94ff8b4a8391d28e9aa99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c37500faf60e6ab7a87478ca542eaa78f6a06a9a70ff9b69740e7040c501a04b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-11T05:41:49Z",
    "title_canon_sha256": "547f163dc04b358472dd520b3bcbf25f322da40bd81c8fe194214a402f92ea61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2138",
    "kind": "arxiv",
    "version": 1
  }
}