Pith Number

pith:XNIZNVKW

pith:2015:XNIZNVKWTTWKWQ22RWQCBRYHJV

not attested not anchored not stored refs pending

From large deviations to Wasserstein gradient flows in multiple dimensions

Jan Maas, Matthias Erbar, Michiel Renger

arxiv:1505.05712 v2 · 2015-05-21 · math.PR · 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{XNIZNVKWTTWKWQ22RWQCBRYHJV}

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	2026-05-18T01:23:12.270737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb5196d5569cecab435a8da020c7074d743093727cc473e043b7073959aebcca

Aliases

arxiv: 1505.05712 · arxiv_version: 1505.05712v2 · doi: 10.48550/arxiv.1505.05712 · pith_short_12: XNIZNVKWTTWK · pith_short_16: XNIZNVKWTTWKWQ22 · pith_short_8: XNIZNVKW

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/XNIZNVKWTTWKWQ22RWQCBRYHJV \
  | 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: bb5196d5569cecab435a8da020c7074d743093727cc473e043b7073959aebcca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74081a14588ede2497928c6e8ecc77ef166a9c17462331906376142ccc26bf80",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-21T13:03:34Z",
    "title_canon_sha256": "f978818f286990a48f53e3f41be6389e1b94efbb804bf535aa7b508ca00dea7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05712",
    "kind": "arxiv",
    "version": 2
  }
}