Pith Number

pith:MKB3KKYX

pith:2019:MKB3KKYXTLS3YT2RZHSC4SJDYE

not attested not anchored not stored refs pending

A variational approach to regularity theory in optimal transportation

Michael Goldman (LJLL)

arxiv:1907.05627 v1 · 2019-07-12 · 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{MKB3KKYXTLS3YT2RZHSC4SJDYE}

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	2026-05-17T23:40:47.573973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6283b52b179ae5bc4f51c9e42e4923c117391a35d02c4040833c8c7866f09a81

Aliases

arxiv: 1907.05627 · arxiv_version: 1907.05627v1 · doi: 10.48550/arxiv.1907.05627 · pith_short_12: MKB3KKYXTLS3 · pith_short_16: MKB3KKYXTLS3YT2R · pith_short_8: MKB3KKYX

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/MKB3KKYXTLS3YT2RZHSC4SJDYE \
  | 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: 6283b52b179ae5bc4f51c9e42e4923c117391a35d02c4040833c8c7866f09a81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f938d91af9cdc432acad21d8277b5fb77d6aaf4b5d40da743689d7210950e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-12T08:46:06Z",
    "title_canon_sha256": "2cbd6e323869c38f8e4ebb6e06559bbc4c5279fd6de342017669a7b22eafa74b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05627",
    "kind": "arxiv",
    "version": 1
  }
}