Pith Number

pith:RQSVMJQT

pith:2015:RQSVMJQT4XJ5IZTQTPVEGHV7YJ

not attested not anchored not stored refs pending

Propagation of chaos, Wasserstein gradient flows and toric Kahler-Einstein metrics

Magnus Onnheim, Robert J. Berman

arxiv:1501.07820 v3 · 2015-01-30 · math-ph · math.DG · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQSVMJQT4XJ5IZTQTPVEGHV7YJ}

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	2026-05-18T01:02:21.338130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c25562613e5d3d466709bea431ebfc259bd8174de2e46e0a34585a0e06154df

Aliases

arxiv: 1501.07820 · arxiv_version: 1501.07820v3 · doi: 10.48550/arxiv.1501.07820 · pith_short_12: RQSVMJQT4XJ5 · pith_short_16: RQSVMJQT4XJ5IZTQ · pith_short_8: RQSVMJQT

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/RQSVMJQT4XJ5IZTQTPVEGHV7YJ \
  | 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: 8c25562613e5d3d466709bea431ebfc259bd8174de2e46e0a34585a0e06154df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb34c966584508fabd498b614f3622d7decdd2a27d693fed9487ae964946abcd",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-30T16:09:59Z",
    "title_canon_sha256": "a158344c4f3639b9f1fdc3b8a1bda8dc60c785bab13fc254509ccd1ac27bb7ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07820",
    "kind": "arxiv",
    "version": 3
  }
}