Pith Number

pith:4L2V2ZAU

pith:2026:4L2V2ZAUBMPLT5MVMUAUN2RMB4

not attested not anchored not stored refs pending

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics

Hanchun Wang, Michael E. Cates, Ronojoy Adhikari

arxiv:2602.22977 v2 · 2026-02-26 · cond-mat.soft · cond-mat.stat-mech · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L2V2ZAUBMPLT5MVMUAUN2RMB4}

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	2026-06-19T16:12:51.693986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f55d64140b1eb9f595650146ea2c0f3acbec371e4082a851b02a5919a0b9d7

Aliases

arxiv: 2602.22977 · arxiv_version: 2602.22977v2 · doi: 10.48550/arxiv.2602.22977 · pith_short_12: 4L2V2ZAUBMPL · pith_short_16: 4L2V2ZAUBMPLT5MV · pith_short_8: 4L2V2ZAU

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/4L2V2ZAUBMPLT5MVMUAUN2RMB4 \
  | 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: e2f55d64140b1eb9f595650146ea2c0f3acbec371e4082a851b02a5919a0b9d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3621c10d41e06b8c20d0910f9fdd063d2acaff8ae734493d72b26bd66ffae6a1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-02-26T13:19:06Z",
    "title_canon_sha256": "2dc4f16b5555ebff319a22a7e17c8b0242a42a58e7841153a367a3d268563d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.22977",
    "kind": "arxiv",
    "version": 2
  }
}