Pith Number

pith:SHZFBYUY

pith:2010:SHZFBYUYTUPUSG72AZ3XGXYPNM

not attested not anchored not stored refs pending

About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities

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

arxiv:1011.5465 v1 · 2010-11-24 · 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{SHZFBYUYTUPUSG72AZ3XGXYPNM}

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	2026-05-18T04:34:47.249156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91f250e2989d1f491bfa0677735f0f6b17b362aacfce15a0db016e1b1bd19a3b

Aliases

arxiv: 1011.5465 · arxiv_version: 1011.5465v1 · doi: 10.48550/arxiv.1011.5465 · pith_short_12: SHZFBYUYTUPU · pith_short_16: SHZFBYUYTUPUSG72 · pith_short_8: SHZFBYUY

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/SHZFBYUYTUPUSG72AZ3XGXYPNM \
  | 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: 91f250e2989d1f491bfa0677735f0f6b17b362aacfce15a0db016e1b1bd19a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f96242776280e756ed192294b7a9452a861b8010d6263b344cf9456c8c8968",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-24T19:49:35Z",
    "title_canon_sha256": "227c7e1e1fff25dabe3fcdf7deb5fe81c81a844d90c5b15aa7fc55496dd3dd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5465",
    "kind": "arxiv",
    "version": 1
  }
}