Pith Number

pith:3XTZGEOB

pith:2020:3XTZGEOB3HOXIWMSPN22BYBFWD

not attested not anchored not stored refs pending

Independence of synthetic Curvature Dimension conditions on transport distance exponent

Afiny Akdemir, Andrew Colinet, Fabio Cavalletti, Flavia Santarcangelo, Robert McCann

arxiv:2007.10980 v1 · 2020-07-21 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XTZGEOB3HOXIWMSPN22BYBFWD}

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.

Cited by

1 paper in Pith

Variable Exponent Wasserstein Spaces: Stability of Entropy Convexity and Modified R\'enyi Entropy

Receipt and verification

First computed	2026-07-05T06:53:27.677414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde79311c1d9dd7459927b75a0e025b0eaa02c78dd6947c9e9c5231c9ad5ae5c

Aliases

arxiv: 2007.10980 · arxiv_version: 2007.10980v1 · doi: 10.48550/arxiv.2007.10980 · pith_short_12: 3XTZGEOB3HOX · pith_short_16: 3XTZGEOB3HOXIWMS · pith_short_8: 3XTZGEOB

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/3XTZGEOB3HOXIWMSPN22BYBFWD \
  | 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: dde79311c1d9dd7459927b75a0e025b0eaa02c78dd6947c9e9c5231c9ad5ae5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7547db8775c9dda270074ef61cf0d3b044a7edd5405a4d1c9996d7f02a6feaf9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-07-21T17:58:03Z",
    "title_canon_sha256": "18e73e2c1149ab2269dca9c5d29d23cec972b11b866c7d4b18f87e2bf505e9a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10980",
    "kind": "arxiv",
    "version": 1
  }
}