Pith Number

pith:RZ6VN7F2

pith:2026:RZ6VN7F2VKYFAICW236JFGDK67

not attested not anchored not stored refs pending

Functional methods for quantum thermodynamics

Haozhao Liang, Samuel Degen, Sibo Wang

arxiv:2605.31112 v1 · 2026-05-29 · cond-mat.quant-gas · cond-mat.stat-mech · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZ6VN7F2VKYFAICW236JFGDK67}

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	2026-06-01T01:03:58.563226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7d56fcbaaab0502056d6fc92986af7cf0326073c4fbbdec2ae83a5de585ed7

Aliases

arxiv: 2605.31112 · arxiv_version: 2605.31112v1 · doi: 10.48550/arxiv.2605.31112 · pith_short_12: RZ6VN7F2VKYF · pith_short_16: RZ6VN7F2VKYFAICW · pith_short_8: RZ6VN7F2

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/RZ6VN7F2VKYFAICW236JFGDK67 \
  | 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: 8e7d56fcbaaab0502056d6fc92986af7cf0326073c4fbbdec2ae83a5de585ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb200741fa08e34fc1f9d3432a8e0cd2ef454fe14f1888ebc8de5df65b39f6c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-05-29T10:24:14Z",
    "title_canon_sha256": "26a00eeb8a3adcc505b25f51df19a4721da6a996b8adf967047cf04ac716c134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31112",
    "kind": "arxiv",
    "version": 1
  }
}