Pith Number

pith:3FQ2ZVVQ

pith:2026:3FQ2ZVVQOK4IPV2MNANVZRJAR6

not attested not anchored not stored refs pending

Nonlocal Sensing Drives Hybrid Phase Separation in Brownian Matter

Benchang Wu, Hepeng Zhang, Shutong Guo, Zhihong You, Ziluo Zhang

arxiv:2606.21464 v1 · 2026-06-19 · cond-mat.soft · cond-mat.stat-mech · 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{3FQ2ZVVQOK4IPV2MNANVZRJAR6}

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	2026-06-23T01:13:11.243389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d961acd6b072b887d74c681b5cc5208f95662d9321ab120c745d8a6a05e1ec1c

Aliases

arxiv: 2606.21464 · arxiv_version: 2606.21464v1 · doi: 10.48550/arxiv.2606.21464 · pith_short_12: 3FQ2ZVVQOK4I · pith_short_16: 3FQ2ZVVQOK4IPV2M · pith_short_8: 3FQ2ZVVQ

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/3FQ2ZVVQOK4IPV2MNANVZRJAR6 \
  | 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: d961acd6b072b887d74c681b5cc5208f95662d9321ab120c745d8a6a05e1ec1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb74ed3e73c3d7adf9aa66e1c3d025801e6e1692be9863f05cf9383b503fa9b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-06-19T14:18:34Z",
    "title_canon_sha256": "90ce322f05c1414fb2f62757e45df6267127996ee17996cfb98390e17ba0d0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21464",
    "kind": "arxiv",
    "version": 1
  }
}