Pith Number

pith:G6QXSYR4

pith:2026:G6QXSYR4YVFYHQDBMDK54S5DED

not attested not anchored not stored refs pending

Macroscopic Thermodynamic Framework for the Mpemba Effect

Yu-Han Ma, Yun-Qian Lin, Z. C. Tu

arxiv:2603.19887 v2 · 2026-03-20 · cond-mat.stat-mech · physics.class-ph · quant-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{G6QXSYR4YVFYHQDBMDK54S5DED}

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.

Cited by

3 papers in Pith

Inverse engineering of cooling protocols: from normal behavior to Mpemba effects

Thermodynamic Geometry of Relaxation

Nonstabilizerness Mpemba Effects

Receipt and verification

First computed	2026-05-21T01:05:17.951965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37a179623cc54b83c06160d5de4ba320dce8cadadf82de7ef72340d1c35f2b9e

Aliases

arxiv: 2603.19887 · arxiv_version: 2603.19887v2 · doi: 10.48550/arxiv.2603.19887 · pith_short_12: G6QXSYR4YVFY · pith_short_16: G6QXSYR4YVFYHQDB · pith_short_8: G6QXSYR4

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/G6QXSYR4YVFYHQDBMDK54S5DED \
  | 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: 37a179623cc54b83c06160d5de4ba320dce8cadadf82de7ef72340d1c35f2b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da3df81e7175e8e1da3567c7f25585200ebec4935f6204126dbff18f200eaad5",
    "cross_cats_sorted": [
      "physics.class-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-03-20T11:56:50Z",
    "title_canon_sha256": "195cf306b850907e4a97ea2d40e7d74077b2854d64c8e816cf685d9d03bb76d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.19887",
    "kind": "arxiv",
    "version": 2
  }
}