Pith Number

pith:DJBUNK7V

pith:2026:DJBUNK7VBX3GA2DJDLXKVKDSOT

not attested not anchored not stored refs pending

Emergence of Common Noise: Quantitative Conditional Propagation of Chaos

Eva L\"ocherbach, Vlad Bally

arxiv:2606.23433 v1 · 2026-06-22 · 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{DJBUNK7VBX3GA2DJDLXKVKDSOT}

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	2026-06-23T03:14:19.865436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a4346abf50df66068691aeeaaa87274c2034cab6f71a3834c27b6123a8de445

Aliases

arxiv: 2606.23433 · arxiv_version: 2606.23433v1 · doi: 10.48550/arxiv.2606.23433 · pith_short_12: DJBUNK7VBX3G · pith_short_16: DJBUNK7VBX3GA2DJ · pith_short_8: DJBUNK7V

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/DJBUNK7VBX3GA2DJDLXKVKDSOT \
  | 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: 1a4346abf50df66068691aeeaaa87274c2034cab6f71a3834c27b6123a8de445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df27ec59b6f262cd2c3a326760723421b436ae9674c1a1188591e81cbfe479f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-22T14:51:18Z",
    "title_canon_sha256": "0fc2610f730c0117dcb42a6a175f8f508fe4af9299043ac8bbd5a9df1cd28e3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23433",
    "kind": "arxiv",
    "version": 1
  }
}