Pith Number

pith:UCPCAT7R

pith:2026:UCPCAT7RG4JESMAXCNNUAGO5XB

not attested not anchored not stored refs pending

A Dacorogna-Moser construction of transport maps on $\mathbb{R}^d$ with application to geodesics on the space of couplings

Louis-Pierre Chaintron, Matteo Picco

arxiv:2607.23241 v1 · 2026-07-25 · 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{UCPCAT7RG4JESMAXCNNUAGO5XB}

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	2026-07-28T01:22:43.480945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09e204ff13712493017135b4019ddb86fdbf227af7d23c7bb97eebc62cf4d7b

Aliases

arxiv: 2607.23241 · arxiv_version: 2607.23241v1 · doi: 10.48550/arxiv.2607.23241 · pith_short_12: UCPCAT7RG4JE · pith_short_16: UCPCAT7RG4JESMAX · pith_short_8: UCPCAT7R

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/UCPCAT7RG4JESMAXCNNUAGO5XB \
  | 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: a09e204ff13712493017135b4019ddb86fdbf227af7d23c7bb97eebc62cf4d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655ab542cad38b09eb9895718db4c744d5eb8f893aa67e093bb65a7b827bc277",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-25T14:54:01Z",
    "title_canon_sha256": "5d52952f5f25d8c2a6df07820053d56b7f5c58eb70a7ef94ea7bd6420b71922f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23241",
    "kind": "arxiv",
    "version": 1
  }
}