Pith Number

pith:ISPUVPR5

pith:2026:ISPUVPR5AEL4XTRVLFKIKR7WZV

not attested not anchored not stored refs pending

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance

F.-U. Caja-Lopez, Jun Kitagawa, Matias G. Delgadino

arxiv:2605.24232 v1 · 2026-05-22 · 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{ISPUVPR5AEL4XTRVLFKIKR7WZV}

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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	2026-05-26T01:02:53.987027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

449f4abe3d0117cbce3559548547f6cd4696ea28302e285defaf421fcadd5b2d

Aliases

arxiv: 2605.24232 · arxiv_version: 2605.24232v1 · doi: 10.48550/arxiv.2605.24232 · pith_short_12: ISPUVPR5AEL4 · pith_short_16: ISPUVPR5AEL4XTRV · pith_short_8: ISPUVPR5

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/ISPUVPR5AEL4XTRVLFKIKR7WZV \
  | 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: 449f4abe3d0117cbce3559548547f6cd4696ea28302e285defaf421fcadd5b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "accbbed38258fccff7b26bd9ff96227a732d561e0642b02b635be9e860b3617a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-22T21:22:07Z",
    "title_canon_sha256": "faf9661dff1631d7c30d2a4b705d044cddf9be604df2516ed0c2bb09353c8404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24232",
    "kind": "arxiv",
    "version": 1
  }
}