Pith Number

pith:7VBI4HHL

pith:2015:7VBI4HHL7GEZPCDJJ3ROYZ4D35

not attested not anchored not stored refs pending

Lipschitz Changes of Variables between Perturbations of Log-concave Measures

Alessio Figalli, Maria Colombo, Yash Jhaveri

arxiv:1510.03687 v1 · 2015-10-13 · 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{7VBI4HHL7GEZPCDJJ3ROYZ4D35}

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	2026-05-18T01:30:16.477118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd428e1cebf9899788694ee2ec6783df4253ba8a64dd6001901406bf7d3f441f

Aliases

arxiv: 1510.03687 · arxiv_version: 1510.03687v1 · doi: 10.48550/arxiv.1510.03687 · pith_short_12: 7VBI4HHL7GEZ · pith_short_16: 7VBI4HHL7GEZPCDJ · pith_short_8: 7VBI4HHL

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/7VBI4HHL7GEZPCDJJ3ROYZ4D35 \
  | 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: fd428e1cebf9899788694ee2ec6783df4253ba8a64dd6001901406bf7d3f441f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06deab4be1551fa1188dd620a8ec5340fa475e01c913e36dbccf2b91c8008faa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-13T14:11:57Z",
    "title_canon_sha256": "a417f7ee799903183ab0f047013367473d65332d932b687c1dce24300706643d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03687",
    "kind": "arxiv",
    "version": 1
  }
}