Pith Number

pith:CE2XD2DB

pith:2011:CE2XD2DBGFBHJRLFYIHOTR2ZVT

not attested not anchored not stored refs pending

Moser-Trudinger type inequalities for complex Monge-Amp\`ere operators and Aubin's "hypoth\`ese fondamentale"

Bo Berndtsson, Robert J. Berman

arxiv:1109.1263 v1 · 2011-09-06 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CE2XD2DBGFBHJRLFYIHOTR2ZVT}

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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.

Cited by

1 paper in Pith

Regularity of rooftop envelopes

Receipt and verification

First computed	2026-05-18T04:14:05.054269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

113571e861314274c565c20ee9c759acd53e1d711640d83be1bbd87d95ac4a5c

Aliases

arxiv: 1109.1263 · arxiv_version: 1109.1263v1 · doi: 10.48550/arxiv.1109.1263 · pith_short_12: CE2XD2DBGFBH · pith_short_16: CE2XD2DBGFBHJRLF · pith_short_8: CE2XD2DB

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/CE2XD2DBGFBHJRLFYIHOTR2ZVT \
  | 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: 113571e861314274c565c20ee9c759acd53e1d711640d83be1bbd87d95ac4a5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c36f2af382127f4fa201eafca8dfa65cbc694b927e4610f5092519033fba36",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-06T18:38:07Z",
    "title_canon_sha256": "823b279ec73922d47931a7f8a5bc43d3fb4cc6f1f5f5d616095d4c654224eb28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1263",
    "kind": "arxiv",
    "version": 1
  }
}