Pith Number

pith:DC6D5ZDI

pith:2010:DC6D5ZDIKEY7AXUOJRY5BHUMJ6

not attested not anchored not stored refs pending

Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants

Jean Dolbeault (CEREMADE), Maria J. Esteban (CEREMADE)

arxiv:1009.5619 v1 · 2010-09-28 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DC6D5ZDIKEY7AXUOJRY5BHUMJ6}

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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	2026-05-18T00:37:05.253610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18bc3ee4685131f05e8e4c71d09e8c4f9626272754c3dc0754fc2a4454501b2d

Aliases

arxiv: 1009.5619 · arxiv_version: 1009.5619v1 · doi: 10.48550/arxiv.1009.5619 · pith_short_12: DC6D5ZDIKEY7 · pith_short_16: DC6D5ZDIKEY7AXUO · pith_short_8: DC6D5ZDI

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/DC6D5ZDIKEY7AXUOJRY5BHUMJ6 \
  | 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: 18bc3ee4685131f05e8e4c71d09e8c4f9626272754c3dc0754fc2a4454501b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9525981cca9a4a52e16a0e094aa20de8caf0b7c476ae11d1a6ba2a5508ab1e1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-28T16:12:24Z",
    "title_canon_sha256": "0ddcd8d286ce6951c5d219ce14e9e2e6e480cf04ff9e9fdecc1e930cac1401ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5619",
    "kind": "arxiv",
    "version": 1
  }
}