Pith Number

pith:RTPDNLLB

pith:2012:RTPDNLLB7FN375WSBLF2KPLA7U

not attested not anchored not stored refs pending

Partial Regularity for optimal transport maps

Alessio Figalli, Guido De Philippis

arxiv:1209.5640 v2 · 2012-09-25 · 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{RTPDNLLB7FN375WSBLF2KPLA7U}

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	2026-05-18T00:14:16.882471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cde36ad61f95bbff6d20acba53d60fd22e9faeb47f42b9e97728cdffdb9a436

Aliases

arxiv: 1209.5640 · arxiv_version: 1209.5640v2 · doi: 10.48550/arxiv.1209.5640 · pith_short_12: RTPDNLLB7FN3 · pith_short_16: RTPDNLLB7FN375WS · pith_short_8: RTPDNLLB

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/RTPDNLLB7FN375WSBLF2KPLA7U \
  | 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: 8cde36ad61f95bbff6d20acba53d60fd22e9faeb47f42b9e97728cdffdb9a436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd5cc94de5f6e7317b6303790322acc3e47a80b2ac443396e31f50e6e168623",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-25T15:15:33Z",
    "title_canon_sha256": "b48bc440d230b13518714336f5cb768d74c6aeee265ea86452cbab5c1e457bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5640",
    "kind": "arxiv",
    "version": 2
  }
}