Pith Number

pith:6YX3A42W

pith:2018:6YX3A42WIWKA7MDJV6THAXCCY2

not attested not anchored not stored refs pending

Benamou-Brenier and duality formulas for the entropic cost on $RCD^*(K,N)$ spaces

Luca Tamanini, Nicola Gigli

arxiv:1805.06325 v1 · 2018-05-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YX3A42WIWKA7MDJV6THAXCCY2}

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	2026-05-18T00:15:48.071913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f62fb0735645940fb069afa6705c42c68eab3174e29962431028376216aab085

Aliases

arxiv: 1805.06325 · arxiv_version: 1805.06325v1 · doi: 10.48550/arxiv.1805.06325 · pith_short_12: 6YX3A42WIWKA · pith_short_16: 6YX3A42WIWKA7MDJ · pith_short_8: 6YX3A42W

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/6YX3A42WIWKA7MDJV6THAXCCY2 \
  | 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: f62fb0735645940fb069afa6705c42c68eab3174e29962431028376216aab085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3dfb8b1bf12ebf39377742c4cbfacd6b74f1f4fc5cdae8e87db7a0d262d2615",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-15T16:29:17Z",
    "title_canon_sha256": "99bc92a2bd7c4eb88d524464bf49180f4efa1162d75c597a36294b9f275fe785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06325",
    "kind": "arxiv",
    "version": 1
  }
}