Pith Number

pith:FHXMD6GQ

pith:2012:FHXMD6GQW23KBNBK5IPVEH4QKV

not attested not anchored not stored refs pending

Monotonicity of time-dependent transportation costs and coupling by reflection

Karl-Theodor Sturm, Kazumasa Kuwada

arxiv:1204.3232 v1 · 2012-04-15 · math.PR · math.AP · 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{FHXMD6GQW23KBNBK5IPVEH4QKV}

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	2026-05-18T03:57:52.174230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29eec1f8d0b6b6a0b42aea1f521f905549dd47074a359a5c8f91cd11f46e1828

Aliases

arxiv: 1204.3232 · arxiv_version: 1204.3232v1 · doi: 10.48550/arxiv.1204.3232 · pith_short_12: FHXMD6GQW23K · pith_short_16: FHXMD6GQW23KBNBK · pith_short_8: FHXMD6GQ

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/FHXMD6GQW23KBNBK5IPVEH4QKV \
  | 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: 29eec1f8d0b6b6a0b42aea1f521f905549dd47074a359a5c8f91cd11f46e1828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8daa5dae9e7f445732b6e05cd114aa5d9d155b6d8b85be6a68397a7cba935cf8",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-15T02:50:33Z",
    "title_canon_sha256": "820203b3e067a2c55bb699565c20cc7609ec251501d22bc6b658db64bc3eb70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3232",
    "kind": "arxiv",
    "version": 1
  }
}