Pith Number

pith:4UXHX5H4

pith:2026:4UXHX5H47OHWMSMUPO6JK6JWDV

not attested not anchored not stored refs pending

Global estimates on the Brenier map

Andrea Bidoia

arxiv:2605.23731 v1 · 2026-05-22 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UXHX5H47OHWMSMUPO6JK6JWDV}

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	2026-05-25T02:02:29.040215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52e7bf4fcfb8f6649947bbc9579361d6ad5a0c57e1a489704f18a026fb9003f

Aliases

arxiv: 2605.23731 · arxiv_version: 2605.23731v1 · doi: 10.48550/arxiv.2605.23731 · pith_short_12: 4UXHX5H47OHW · pith_short_16: 4UXHX5H47OHWMSMU · pith_short_8: 4UXHX5H4

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/4UXHX5H47OHWMSMUPO6JK6JWDV \
  | 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: e52e7bf4fcfb8f6649947bbc9579361d6ad5a0c57e1a489704f18a026fb9003f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ef462f0aa5735f99342525ac2cf9f364596654a0f5910202b8a70bac07e61d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-22T15:08:18Z",
    "title_canon_sha256": "387743addff51498d4e035d49d37d4b3312d46a5ec9654a52c6ab7d80b7562f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23731",
    "kind": "arxiv",
    "version": 1
  }
}