Pith Number

pith:Y55XLQ7K

pith:2010:Y55XLQ7KNGE323SABFYYVZ3Q3N

not attested not anchored not stored refs pending

A Generalization of Caffarelli's Contraction Theorem via (reverse) Heat Flow

Emanuel Milman, Young-Heon Kim

arxiv:1002.0373 v3 · 2010-02-02 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y55XLQ7KNGE323SABFYYVZ3Q3N}

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	2026-05-18T04:17:25.170526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77b75c3ea6989bd6e4009718ae770db6e56314bfde32b5c735f2eb0a9ff4974

Aliases

arxiv: 1002.0373 · arxiv_version: 1002.0373v3 · doi: 10.48550/arxiv.1002.0373 · pith_short_12: Y55XLQ7KNGE3 · pith_short_16: Y55XLQ7KNGE323SA · pith_short_8: Y55XLQ7K

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/Y55XLQ7KNGE323SABFYYVZ3Q3N \
  | 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: c77b75c3ea6989bd6e4009718ae770db6e56314bfde32b5c735f2eb0a9ff4974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67297a83751ecba411d8ae75db83fc05907d44e29c8975988ca659b60f75401f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-02-02T03:55:11Z",
    "title_canon_sha256": "3599f555ae7fbb0984535fdebdefcdc7262ebda3c679f0f55f7b3208bfc9a920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0373",
    "kind": "arxiv",
    "version": 3
  }
}