Pith Number

pith:S6JVMGFB

pith:2024:S6JVMGFBY227A6Q3EBFX6EOO74

not attested not anchored not stored refs pending

Uniform-in-Time Estimates on the Size of Chaos for Interacting Particle Systems

Pengzhi Xie

arxiv:2411.15406 v1 · 2024-11-23 · math.AP · math-ph · math.MP · 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{S6JVMGFBY227A6Q3EBFX6EOO74}

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	2026-07-05T09:39:34.038400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97935618a1c6b5f07a1b204b7f11ceff254af9d151a06f68d70504f394428449

Aliases

arxiv: 2411.15406 · arxiv_version: 2411.15406v1 · doi: 10.48550/arxiv.2411.15406 · pith_short_12: S6JVMGFBY227 · pith_short_16: S6JVMGFBY227A6Q3 · pith_short_8: S6JVMGFB

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/S6JVMGFBY227A6Q3EBFX6EOO74 \
  | 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: 97935618a1c6b5f07a1b204b7f11ceff254af9d151a06f68d70504f394428449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1c9022dbf99d05633b201b81db6da2a779c3587185db9fbc35a4f6e757a75e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-23T01:38:51Z",
    "title_canon_sha256": "d466b7ba47da89a16d8fa516d45809b3a40bf2d8332d23fe81408be3277cb879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15406",
    "kind": "arxiv",
    "version": 1
  }
}