Pith Number

pith:5GRM4Z44

pith:2023:5GRM4Z445KL74PCMKROJX4EPWO

not attested not anchored not stored refs pending

On singular strictly convex solutions to the Monge-Amp\`ere equation

Guido De Philippis, Riccardo Tione

arxiv:2311.08848 v1 · 2023-11-15 · 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{5GRM4Z445KL74PCMKROJX4EPWO}

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	2026-07-05T07:13:04.752445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a2ce679cea97fe3c4c545c9bf08fb38fda6cc343078951cc937405ef83de88

Aliases

arxiv: 2311.08848 · arxiv_version: 2311.08848v1 · doi: 10.48550/arxiv.2311.08848 · pith_short_12: 5GRM4Z445KL7 · pith_short_16: 5GRM4Z445KL74PCM · pith_short_8: 5GRM4Z44

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/5GRM4Z445KL74PCMKROJX4EPWO \
  | 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: e9a2ce679cea97fe3c4c545c9bf08fb38fda6cc343078951cc937405ef83de88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8559bd1bd3868f46ebd7d5561dce3b731c259620c4a52cd2ef08d161bda1dcb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-11-15T10:39:27Z",
    "title_canon_sha256": "19aedd844fab7d34ad7af64dca93eb7730be822366855a0c37f85c82c3f48d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.08848",
    "kind": "arxiv",
    "version": 1
  }
}