Pith Number

pith:T3LIEP2T

pith:2026:T3LIEP2TLCHOT5ZB444IA6MQ7W

not attested not anchored not stored refs pending

Chemical potentials from structure factors: I. Neutral multi-component mixtures

Bingqing Cheng, Musahid Ahmed, Roya Savoj, Xiaoyu Wang

arxiv:2608.08357 v1 · 2026-08-08 · physics.chem-ph · cond-mat.soft · cond-mat.stat-mech · physics.comp-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{T3LIEP2TLCHOT5ZB444IA6MQ7W}

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	2026-08-11T01:22:24.558706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed6823f53588ee9f721e738807990fda51da35cf7dc150c95b59224b062d924

Aliases

arxiv: 2608.08357 · arxiv_version: 2608.08357v1 · doi: 10.48550/arxiv.2608.08357 · pith_short_12: T3LIEP2TLCHO · pith_short_16: T3LIEP2TLCHOT5ZB · pith_short_8: T3LIEP2T

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/T3LIEP2TLCHOT5ZB444IA6MQ7W \
  | 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: 9ed6823f53588ee9f721e738807990fda51da35cf7dc150c95b59224b062d924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24898aac609328f2c9e55ea9039a5427e0a62fdb30e2c1e5b2c56fb6b37772fb",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "cond-mat.stat-mech",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-08-08T22:50:29Z",
    "title_canon_sha256": "e7af999966e51e1f1f52b7e9c030a60580ecf4d4731ac50bd318cec001d1329a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08357",
    "kind": "arxiv",
    "version": 1
  }
}