Pith Number

pith:CJKAHZ5C

pith:2013:CJKAHZ5CJGTZH3QKGXTY2ANCXS

not attested not anchored not stored refs pending

Monge problem in metric measure spaces with Riemannian curvature-dimension condition

Fabio Cavalletti

arxiv:1310.4036 v1 · 2013-10-15 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJKAHZ5CJGTZH3QKGXTY2ANCXS}

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	2026-05-18T03:10:25.315325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

125403e7a249a793ee0a35e78d01a2bc90c641d386ab9b53051787cbb9f085d9

Aliases

arxiv: 1310.4036 · arxiv_version: 1310.4036v1 · doi: 10.48550/arxiv.1310.4036 · pith_short_12: CJKAHZ5CJGTZ · pith_short_16: CJKAHZ5CJGTZH3QK · pith_short_8: CJKAHZ5C

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/CJKAHZ5CJGTZH3QKGXTY2ANCXS \
  | 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: 125403e7a249a793ee0a35e78d01a2bc90c641d386ab9b53051787cbb9f085d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67527dc6c567b5a9818d300ab6c33aedaa3eed257f9317edc0f92c245fb55efa",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-10-15T12:42:13Z",
    "title_canon_sha256": "4356157e48e3003da3b6b5df92f019b287c5a4c4705c030881a42267fc41dfae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4036",
    "kind": "arxiv",
    "version": 1
  }
}