Pith Number

pith:EJ2N5NNV

pith:2011:EJ2N5NNV2SD4NSLTBASJHW3XBW

not attested not anchored not stored refs pending

A Lack of Ricci Bounds for the Entropic Measure on Wasserstein space over the Interval

Otis Chodosh

arxiv:1111.0058 v2 · 2011-10-31 · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJ2N5NNV2SD4NSLTBASJHW3XBW}

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	2026-05-18T03:45:43.684647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2274deb5b5d487c6c973082493db770dbb5625ecd525f0054004398706d9197e

Aliases

arxiv: 1111.0058 · arxiv_version: 1111.0058v2 · doi: 10.48550/arxiv.1111.0058 · pith_short_12: EJ2N5NNV2SD4 · pith_short_16: EJ2N5NNV2SD4NSLT · pith_short_8: EJ2N5NNV

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/EJ2N5NNV2SD4NSLTBASJHW3XBW \
  | 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: 2274deb5b5d487c6c973082493db770dbb5625ecd525f0054004398706d9197e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e93dc6d9c53791e9ae22c23cf8ae7a98f40d6884f3cdce69aa35acf735948c6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-31T22:15:51Z",
    "title_canon_sha256": "81898931eaf1feae0f2265614f7c4113e504b9a6ca2f75f9747c66b721ac2f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0058",
    "kind": "arxiv",
    "version": 2
  }
}