Pith Number

pith:7UKVG2QW

pith:2019:7UKVG2QWFGJBCDZXTI22PXAJTF

not attested not anchored not stored refs pending

Local regularity result for an optimal transportation problem with rough measures in the plane

A. Mellet, M. Molina, P.-E. Jabin

arxiv:1911.00574 v2 · 2019-11-01 · 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{7UKVG2QWFGJBCDZXTI22PXAJTF}

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	2026-07-05T02:29:52.480275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd15536a162992110f379a35a7dc09997aca5c8ffdfe5bbb8e0b79ea01fa5001

Aliases

arxiv: 1911.00574 · arxiv_version: 1911.00574v2 · doi: 10.48550/arxiv.1911.00574 · pith_short_12: 7UKVG2QWFGJB · pith_short_16: 7UKVG2QWFGJBCDZX · pith_short_8: 7UKVG2QW

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/7UKVG2QWFGJBCDZXTI22PXAJTF \
  | 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: fd15536a162992110f379a35a7dc09997aca5c8ffdfe5bbb8e0b79ea01fa5001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060f236f4031eeca6cf28975e3217bc38545a74e1c6cec206d653f5a564d3016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-01T20:12:14Z",
    "title_canon_sha256": "f13a8d5b6a9e3989a0cee0423fe24c6c2f79711218d1a57ec415861a662d0be4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.00574",
    "kind": "arxiv",
    "version": 2
  }
}