Pith Number

pith:3LROK2Z3

pith:2020:3LROK2Z36AVBBSTCJX5DRVN5O4

not attested not anchored not stored refs pending

Differentiable maps between Wasserstein spaces

Berlin (2) Mathematisches Institut, Bernadette Lessel (1), Thomas Schick (2) ((1) Max Planck Institute for the History of Science, Universit\"at G\"ottingen)

arxiv:2010.02131 v1 · 2020-10-05 · 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{3LROK2Z36AVBBSTCJX5DRVN5O4}

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	2026-07-05T01:40:17.717363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae2e56b3bf02a10ca624dfa38d5bd7737cfe644dff23c9840423d60288251e5

Aliases

arxiv: 2010.02131 · arxiv_version: 2010.02131v1 · doi: 10.48550/arxiv.2010.02131 · pith_short_12: 3LROK2Z36AVB · pith_short_16: 3LROK2Z36AVBBSTC · pith_short_8: 3LROK2Z3

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/3LROK2Z36AVBBSTCJX5DRVN5O4 \
  | 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: dae2e56b3bf02a10ca624dfa38d5bd7737cfe644dff23c9840423d60288251e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f416adbca93020dc919f0726d27dc5c6a9d5b90ac38d7319e6b311da3ae3a713",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2020-10-05T16:23:04Z",
    "title_canon_sha256": "15a5929b3bd502c6d2dcf6c04908c3591378fffc2855192cb740108cc6351a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.02131",
    "kind": "arxiv",
    "version": 1
  }
}