Pith Number

pith:4IJZQL6L

pith:2025:4IJZQL6LWDUHVRMIOCGIFUUSVR

not attested not anchored not stored refs pending

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis

Chiu Fan Lee, John Toner, Leiming Chen

arxiv:2507.15159 v1 · 2025-07-20 · cond-mat.soft · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IJZQL6LWDUHVRMIOCGIFUUSVR}

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

Liquid-Gas Criticality of Hyperuniform Fluids

Receipt and verification

First computed	2026-07-05T11:40:19.432629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e213982fcbb0e87ac588708c82d292ac4cbb514e0d9d9c70ed387965fc1d6a91

Aliases

arxiv: 2507.15159 · arxiv_version: 2507.15159v1 · doi: 10.48550/arxiv.2507.15159 · pith_short_12: 4IJZQL6LWDUH · pith_short_16: 4IJZQL6LWDUHVRMI · pith_short_8: 4IJZQL6L

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/4IJZQL6LWDUHVRMIOCGIFUUSVR \
  | 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: e213982fcbb0e87ac588708c82d292ac4cbb514e0d9d9c70ed387965fc1d6a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ee0adefe32f589242e6a541ad731580095c45faf727d4289be57a78613c312",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2025-07-20T23:52:03Z",
    "title_canon_sha256": "e2a3e927afcff9bb9cdfa28bbab840b6ceacdee53d8d82b9fa587446fbff2dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15159",
    "kind": "arxiv",
    "version": 1
  }
}