Pith Number

pith:ZJCIKVEA

pith:2018:ZJCIKVEABMM6MJLQ5KDGNECK4H

not attested not anchored not stored refs pending

Toward a quantitative theory of the hydrodynamic limit

Deniz Dizdar, Felix Otto, Georg Menz, Tianqi Wu

arxiv:1807.09857 v2 · 2018-07-25 · math.PR · math-ph · math.AP · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJCIKVEABMM6MJLQ5KDGNECK4H}

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	2026-05-18T00:09:41.142924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca448554800b19e62570ea8666904ae1f7fad1ac9eb6bb19cc8fe0d7263b1cbe

Aliases

arxiv: 1807.09857 · arxiv_version: 1807.09857v2 · doi: 10.48550/arxiv.1807.09857 · pith_short_12: ZJCIKVEABMM6 · pith_short_16: ZJCIKVEABMM6MJLQ · pith_short_8: ZJCIKVEA

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/ZJCIKVEABMM6MJLQ5KDGNECK4H \
  | 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: ca448554800b19e62570ea8666904ae1f7fad1ac9eb6bb19cc8fe0d7263b1cbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b00f8ee2ffe9e0fe76fea0b7e2b5636db48493facb706565f473c0fc1c6362b",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-25T21:02:15Z",
    "title_canon_sha256": "79e49ffc305fde4dc000ec171fa5095028bf61ef81a5c7dd0eba352f941e83d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09857",
    "kind": "arxiv",
    "version": 2
  }
}