Pith Number

pith:WDUS2R4L

pith:2022:WDUS2R4LCJ7WA43YHH3PZ25O6L

not attested not anchored not stored refs pending

On the converse of Pansu's Theorem

Andrea Marchese, Andrea Merlo, Andrea Pinamonti, Filip Rindler, Guido De Philippis

arxiv:2211.06081 v1 · 2022-11-11 · math.MG · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDUS2R4LCJ7WA43YHH3PZ25O6L}

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.

Cited by

2 papers in Pith

On the WALA conjecture, Alberti representations and applications

Remarks on hypoelliptic equations

Receipt and verification

First computed	2026-07-05T05:15:17.078347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e92d478b127f60737839f6fcebaef2ca62f55a841fd7ba39bbd45aff9f0ed0

Aliases

arxiv: 2211.06081 · arxiv_version: 2211.06081v1 · doi: 10.48550/arxiv.2211.06081 · pith_short_12: WDUS2R4LCJ7W · pith_short_16: WDUS2R4LCJ7WA43Y · pith_short_8: WDUS2R4L

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/WDUS2R4LCJ7WA43YHH3PZ25O6L \
  | 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: b0e92d478b127f60737839f6fcebaef2ca62f55a841fd7ba39bbd45aff9f0ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4474d110e16e32ca1b447802f8bec3884e8d8e83a858cbe49fd5ceab71c2589f",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-11-11T09:27:21Z",
    "title_canon_sha256": "5c5193749b9635cafe3f803b9459da5f4dcc5ba6278bdaaf5d0363c5c1109d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.06081",
    "kind": "arxiv",
    "version": 1
  }
}