Pith Number

pith:O5LU7ECI

pith:2018:O5LU7ECIALMIAE2KZXCOBZ5IFA

not attested not anchored not stored refs pending

Denseness of adapted processes among causal couplings

Daniel Lacker, Mathias Beiglb\"ock

arxiv:1805.03185 v3 · 2018-05-08 · 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{O5LU7ECIALMIAE2KZXCOBZ5IFA}

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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

2 papers in Pith

Quantitative homogenization of convex Hamilton-Jacobi equations in the Wasserstein space

Mean field games with option to buy information

Receipt and verification

First computed	2026-07-05T01:06:06.281202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77574f904802d880134acdc4e0e7a8283a132cd3097a892553cf499b2fcb7b7e

Aliases

arxiv: 1805.03185 · arxiv_version: 1805.03185v3 · doi: 10.48550/arxiv.1805.03185 · pith_short_12: O5LU7ECIALMI · pith_short_16: O5LU7ECIALMIAE2K · pith_short_8: O5LU7ECI

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/O5LU7ECIALMIAE2KZXCOBZ5IFA \
  | 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: 77574f904802d880134acdc4e0e7a8283a132cd3097a892553cf499b2fcb7b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ec427b923ee6fd84cbd067256bacb26c6b052b19780fe9a2fe5e979bc3934e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-08T17:37:23Z",
    "title_canon_sha256": "bd7da16bcf60b783ed30462fc3dfa5b604a7420f6de94a060c9ebf9da729688c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03185",
    "kind": "arxiv",
    "version": 3
  }
}