Pith Number

pith:PJ33HQ7Z

pith:2026:PJ33HQ7ZG2WHV3HMXF6JEWOSJG

not attested not anchored not stored refs pending

Statistical Physics of Planar Carroll Systems

Fei Huang, Lo\"ic Marsot

arxiv:2606.23039 v1 · 2026-06-22 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ33HQ7ZG2WHV3HMXF6JEWOSJG}

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	2026-06-23T03:14:07.409688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a77b3c3f936ac7aececb97c9259d249b660f8174e95e24259f15d447d54e755

Aliases

arxiv: 2606.23039 · arxiv_version: 2606.23039v1 · doi: 10.48550/arxiv.2606.23039 · pith_short_12: PJ33HQ7ZG2WH · pith_short_16: PJ33HQ7ZG2WHV3HM · pith_short_8: PJ33HQ7Z

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/PJ33HQ7ZG2WHV3HMXF6JEWOSJG \
  | 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: 7a77b3c3f936ac7aececb97c9259d249b660f8174e95e24259f15d447d54e755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d836423b4db39dd20b3de01532853b193dc350c99ee27c2df2c975a6cc757a",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-22T08:47:27Z",
    "title_canon_sha256": "682ad2a8b1d0a14a128054d078298c6bf9169e3e0f7a3a8fcef43f958ea21c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23039",
    "kind": "arxiv",
    "version": 1
  }
}