Pith Number

pith:HE5F6ZB5

pith:2022:HE5F6ZB5JTSQ3AVNKQZQE2DNRM

not attested not anchored not stored refs pending

Optimal transport between algebraic hypersurfaces

Antonio Lerario, Fabio Cavalletti, Paolo Antonini

arxiv:2212.10274 v3 · 2022-12-20 · math.DG · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HE5F6ZB5JTSQ3AVNKQZQE2DNRM}

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	2026-07-05T06:31:07.683556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

393a5f643d4ce50d82ad543302686d8b34f0c745868b4630b2c02c62f97a6fa3

Aliases

arxiv: 2212.10274 · arxiv_version: 2212.10274v3 · doi: 10.48550/arxiv.2212.10274 · pith_short_12: HE5F6ZB5JTSQ · pith_short_16: HE5F6ZB5JTSQ3AVN · pith_short_8: HE5F6ZB5

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/HE5F6ZB5JTSQ3AVNKQZQE2DNRM \
  | 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: 393a5f643d4ce50d82ad543302686d8b34f0c745868b4630b2c02c62f97a6fa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2989238c9118df47b5c67b2e8e97aa61743410972b9431125bf79984a37b308a",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-12-20T14:21:56Z",
    "title_canon_sha256": "8df96a1aaf5ba57d7a44b5dde71a8133595e9b3c48069c5482cafcd356dde2a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10274",
    "kind": "arxiv",
    "version": 3
  }
}