Pith Number

pith:AH2EPJGS

pith:2011:AH2EPJGS4OIAHXN6HRK4CSQNZN

not attested not anchored not stored refs pending

Symmetry of extremals of functional inequalities via spectral estimates for linear operators

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

arxiv:1109.6212 v1 · 2011-09-28 · 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{AH2EPJGS4OIAHXN6HRK4CSQNZN}

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	2026-05-18T02:00:22.126497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01f447a4d2e39003ddbe3c55c14a0dcb7d27e16c0cbbe7cdd049a977b39af634

Aliases

arxiv: 1109.6212 · arxiv_version: 1109.6212v1 · doi: 10.48550/arxiv.1109.6212 · pith_short_12: AH2EPJGS4OIA · pith_short_16: AH2EPJGS4OIAHXN6 · pith_short_8: AH2EPJGS

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/AH2EPJGS4OIAHXN6HRK4CSQNZN \
  | 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: 01f447a4d2e39003ddbe3c55c14a0dcb7d27e16c0cbbe7cdd049a977b39af634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a7409c7009f10221b7cb63822c8c077b16c23eb7a1981430f4524cd8920116",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-28T14:08:25Z",
    "title_canon_sha256": "82e992034bef8e853c42089fee018f470b3fcfd2c04432a7d2d2d0a0c2c7db2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6212",
    "kind": "arxiv",
    "version": 1
  }
}