Pith Number

pith:4KYPZN3W

pith:2015:4KYPZN3WCZ2VIDKWSN7JM76YTW

not attested not anchored not stored refs pending

Evolution variational inequality and Wasserstein control in variable curvature context

Christian Ketterer

arxiv:1509.02178 v2 · 2015-09-07 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KYPZN3WCZ2VIDKWSN7JM76YTW}

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	2026-05-18T01:27:31.238107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b0fcb7761675540d56937e967fd89db90075830a84b3fb01617687c1eed045

Aliases

arxiv: 1509.02178 · arxiv_version: 1509.02178v2 · doi: 10.48550/arxiv.1509.02178 · pith_short_12: 4KYPZN3WCZ2V · pith_short_16: 4KYPZN3WCZ2VIDKW · pith_short_8: 4KYPZN3W

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/4KYPZN3WCZ2VIDKWSN7JM76YTW \
  | 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: e2b0fcb7761675540d56937e967fd89db90075830a84b3fb01617687c1eed045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb24b0ffc81f92f92692a2859e3b0763720996aa59de449faf945a3b744d3f2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-07T20:21:18Z",
    "title_canon_sha256": "a5f22f07a68696154b9e113c9f42faa69525060432090116ce2da9573f55a9b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02178",
    "kind": "arxiv",
    "version": 2
  }
}