Pith Number

pith:4XBAGRNF

pith:2017:4XBAGRNFPF7G23ULHAWSBUB5LO

not attested not anchored not stored refs pending

Brownian motion: from kinetics to hydrodynamics

Hanqing Zhao, Hong Zhao

arxiv:1706.00779 v1 · 2017-06-02 · cond-mat.stat-mech · physics.chem-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XBAGRNFPF7G23ULHAWSBUB5LO}

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	2026-05-18T00:43:07.982981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c20345a5797e6d6e8b382d20d03d5b8ceb9987ec7a057aa53bb798b5193eea

Aliases

arxiv: 1706.00779 · arxiv_version: 1706.00779v1 · doi: 10.48550/arxiv.1706.00779 · pith_short_12: 4XBAGRNFPF7G · pith_short_16: 4XBAGRNFPF7G23UL · pith_short_8: 4XBAGRNF

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/4XBAGRNFPF7G23ULHAWSBUB5LO \
  | 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: e5c20345a5797e6d6e8b382d20d03d5b8ceb9987ec7a057aa53bb798b5193eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4833426b4943fc68b1e9fa85da64485a4d0d93369cb0cbf36ea78b78bf42916",
    "cross_cats_sorted": [
      "physics.chem-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-06-02T13:34:04Z",
    "title_canon_sha256": "732bf260e9e05dfed9bdf6b2327bc0e87cd72a82daf5a1a8b5e6efd977207ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00779",
    "kind": "arxiv",
    "version": 1
  }
}