Pith Number

pith:Y2MNIERN

pith:2010:Y2MNIERN7JRZQ3WYBJS5ZAPR4F

not attested not anchored not stored refs pending

A thermodynamical formalism for Monge-Ampere equations, Moser-Trudinger inequalities and Kahler-Einstein metrics

Robert J. Berman

arxiv:1011.3976 v5 · 2010-11-17 · 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{Y2MNIERN7JRZQ3WYBJS5ZAPR4F}

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	2026-05-18T03:41:01.562816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c698d4122dfa63986ed80a65dc81f1e14e67f0d84af935372234d2504c4ea732

Aliases

arxiv: 1011.3976 · arxiv_version: 1011.3976v5 · doi: 10.48550/arxiv.1011.3976 · pith_short_12: Y2MNIERN7JRZ · pith_short_16: Y2MNIERN7JRZQ3WY · pith_short_8: Y2MNIERN

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/Y2MNIERN7JRZQ3WYBJS5ZAPR4F \
  | 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: c698d4122dfa63986ed80a65dc81f1e14e67f0d84af935372234d2504c4ea732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96b68b9adb828a86b613b6c46e856373985f60f0df3670686774d00f450f6fb",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-17T15:20:05Z",
    "title_canon_sha256": "91c3f33357eab5682795aa333e5f892ad47a64f0fb86dcd9ea4ec584e303475a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3976",
    "kind": "arxiv",
    "version": 5
  }
}