Pith Number

pith:3X7EQ7A6

pith:2026:3X7EQ7A6NBS6JIRY3EDFCOU27Z

not attested not anchored not stored refs pending

Deriving the second law of thermodynamics and exploring its boundaries

Yu Qiao

arxiv:2607.28765 v1 · 2026-07-30 · cond-mat.stat-mech · physics.class-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{3X7EQ7A6NBS6JIRY3EDFCOU27Z}

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	2026-08-03T00:12:47.406831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddfe487c1e6865e4a238d906513a9afe7c58f4d7dd7a9a90d1ae43deff7897b6

Aliases

arxiv: 2607.28765 · arxiv_version: 2607.28765v1 · doi: 10.48550/arxiv.2607.28765 · pith_short_12: 3X7EQ7A6NBS6 · pith_short_16: 3X7EQ7A6NBS6JIRY · pith_short_8: 3X7EQ7A6

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/3X7EQ7A6NBS6JIRY3EDFCOU27Z \
  | 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: ddfe487c1e6865e4a238d906513a9afe7c58f4d7dd7a9a90d1ae43deff7897b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf03b9a925aeb9ebbc16215a91d5ee3931f84c1323d3d411326a11f0216d58f",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-30T18:31:50Z",
    "title_canon_sha256": "6417da6ade522b7372f440af4ffa27dba40391bd2c686c2e2268eb980dec0269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28765",
    "kind": "arxiv",
    "version": 1
  }
}