Pith Number

pith:FULYHXVZ

pith:2017:FULYHXVZ7UR4PHVBJZCMZMOOQM

not attested not anchored not stored refs pending

A second order equation for Schr\"odinger bridges with applications to the hot gas experiment and entropic transportation cost

Giovanni Conforti

arxiv:1704.04821 v4 · 2017-04-16 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FULYHXVZ7UR4PHVBJZCMZMOOQM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:12:45.826265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d1783deb9fd23c79ea14e44ccb1ce83236124993118d3b6c0f6821de6163a8b

Aliases

arxiv: 1704.04821 · arxiv_version: 1704.04821v4 · doi: 10.48550/arxiv.1704.04821 · pith_short_12: FULYHXVZ7UR4 · pith_short_16: FULYHXVZ7UR4PHVB · pith_short_8: FULYHXVZ

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/FULYHXVZ7UR4PHVBJZCMZMOOQM \
  | 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: 2d1783deb9fd23c79ea14e44ccb1ce83236124993118d3b6c0f6821de6163a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb33bba035ffcbdfc77115705c7f8246d8ad2a6589cc575cfefab190369255b4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-16T21:20:32Z",
    "title_canon_sha256": "66fa4d981bde6b3fa8f63dfacd893498266cf78a2adb695d9ef0c7d2a7f90619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04821",
    "kind": "arxiv",
    "version": 4
  }
}