Pith Number

pith:PQOY3LBE

pith:2023:PQOY3LBE3WLLYZ4Y4BSGFVPRIS

not attested not anchored not stored refs pending

Entropy-cost type Propagation of Chaos for Mean Field Particle System with Bounded Measurable Interaction

Xing Huang

arxiv:2311.02825 v6 · 2023-11-06 · 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{PQOY3LBE3WLLYZ4Y4BSGFVPRIS}

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

Kac's Program for the Landau Equation

Receipt and verification

First computed	2026-07-02T01:18:00.494799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1d8dac24dd96bc6798e06462d5f1449aeb74e68c1b666e9dc76a46a60c48d5

Aliases

arxiv: 2311.02825 · arxiv_version: 2311.02825v6 · doi: 10.48550/arxiv.2311.02825 · pith_short_12: PQOY3LBE3WLL · pith_short_16: PQOY3LBE3WLLYZ4Y · pith_short_8: PQOY3LBE

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/PQOY3LBE3WLLYZ4Y4BSGFVPRIS \
  | 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: 7c1d8dac24dd96bc6798e06462d5f1449aeb74e68c1b666e9dc76a46a60c48d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc5ec1b5b4b03d90e8c12a6520c5b44098138afe2686898be5212c563bb5dd85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-11-06T02:20:59Z",
    "title_canon_sha256": "2d404ad93f99901e445fdfe387b70bf36d184ee6401af6f115799b0ec4e24698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.02825",
    "kind": "arxiv",
    "version": 6
  }
}