Pith Number

pith:N35AP2ML

pith:2016:N35AP2MLGVSTW3NPFJ2IOVUMU5

not attested not anchored not stored refs pending

Rigidity and stability of Caffarelli's log-concave perturbation theorem

Alessio Figalli, Guido De Philippis

arxiv:1605.09702 v1 · 2016-05-31 · 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{N35AP2MLGVSTW3NPFJ2IOVUMU5}

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	2026-05-18T01:13:10.334103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6efa07e98b35653b6daf2a7487568ca775cdfbeca444d7019870ac3b6d410f81

Aliases

arxiv: 1605.09702 · arxiv_version: 1605.09702v1 · doi: 10.48550/arxiv.1605.09702 · pith_short_12: N35AP2MLGVST · pith_short_16: N35AP2MLGVSTW3NP · pith_short_8: N35AP2ML

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/N35AP2MLGVSTW3NPFJ2IOVUMU5 \
  | 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: 6efa07e98b35653b6daf2a7487568ca775cdfbeca444d7019870ac3b6d410f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f8d0122ad51b98cd505df2a56951c3ee82f192911b4a7daca09350a62d1ae5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-31T16:26:12Z",
    "title_canon_sha256": "81677a321d8497d5f9e68b1218268b03d516aa69124b916fdd1f88541cdcf8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09702",
    "kind": "arxiv",
    "version": 1
  }
}