Pith Number

pith:WNSAKPJB

pith:2025:WNSAKPJBB3UNR3CZKXS4YQ5NEJ

not attested not anchored not stored refs pending

Topology Controls the Phase Separation Dynamics of Many Component Fluid Mixtures

Halim Kusumaatmaja, Michael Rennick, Xitong Zhang

arxiv:2511.20215 v4 · 2025-11-25 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNSAKPJBB3UNR3CZKXS4YQ5NEJ}

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	2026-07-07T01:16:01.482877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b364053d210ee8d8ec5955e5cc43ad226eb68b4ac4737df337f7105543e0ffb8

Aliases

arxiv: 2511.20215 · arxiv_version: 2511.20215v4 · doi: 10.48550/arxiv.2511.20215 · pith_short_12: WNSAKPJBB3UN · pith_short_16: WNSAKPJBB3UNR3CZ · pith_short_8: WNSAKPJB

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/WNSAKPJBB3UNR3CZKXS4YQ5NEJ \
  | 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: b364053d210ee8d8ec5955e5cc43ad226eb68b4ac4737df337f7105543e0ffb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb839ae1a0252d98694317f660eb97a7586ecd8d5e30a4bdf9760a7fe18860b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-11-25T11:41:23Z",
    "title_canon_sha256": "c8b7156d07ece6b959c058554bd1e20b129a2eee7584e5ca4aed10bbe12408f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.20215",
    "kind": "arxiv",
    "version": 4
  }
}