Pith Number

pith:XMQSJE4P

pith:2021:XMQSJE4PTCXAJQ77Y62ABO3AIL

not attested not anchored not stored refs pending

A simple hypocoercivity analysis for the effective Mori-Zwanzig equation

Yuanran Zhu

arxiv:2109.01990 v2 · 2021-09-05 · math-ph · cond-mat.stat-mech · 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{XMQSJE4PTCXAJQ77Y62ABO3AIL}

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.

Cited by

1 paper in Pith

A Shared Observation Shields Collective Fluctuations while Preserving Local Independence

Receipt and verification

First computed	2026-07-05T03:13:32.750957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2124938f98ae04c3ffc7b400bb6042e726e0d0c6cdfd7c7efa12db76f91834

Aliases

arxiv: 2109.01990 · arxiv_version: 2109.01990v2 · doi: 10.48550/arxiv.2109.01990 · pith_short_12: XMQSJE4PTCXA · pith_short_16: XMQSJE4PTCXAJQ77 · pith_short_8: XMQSJE4P

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/XMQSJE4PTCXAJQ77Y62ABO3AIL \
  | 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: bb2124938f98ae04c3ffc7b400bb6042e726e0d0c6cdfd7c7efa12db76f91834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15392da3b83e47d6e696fdad4c3f999437aca7f498af1555da77296cb9b4d0c7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-09-05T04:30:20Z",
    "title_canon_sha256": "1d46e034ce559d63ad509bd539160527f37d9ba7475f44d29db9ba1aee8975b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01990",
    "kind": "arxiv",
    "version": 2
  }
}