Pith Number

pith:EZALGFCZ

pith:2026:EZALGFCZ5A2XM6MO3QLQLZ5LAX

not attested not anchored not stored refs pending

Operation Mpemba effect: Breakdown of resource-Markovianity of free dynamics

Heng Fan, Tian-Ren Jin, Yu-Ran Zhang

arxiv:2606.09790 v1 · 2026-06-08 · 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{EZALGFCZ5A2XM6MO3QLQLZ5LAX}

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	2026-06-09T02:09:10.042434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2640b31459e83576798edc1705e7ab05ec215513cf95bfc6da35800aff6a04e3

Aliases

arxiv: 2606.09790 · arxiv_version: 2606.09790v1 · doi: 10.48550/arxiv.2606.09790 · pith_short_12: EZALGFCZ5A2X · pith_short_16: EZALGFCZ5A2XM6MO · pith_short_8: EZALGFCZ

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/EZALGFCZ5A2XM6MO3QLQLZ5LAX \
  | 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: 2640b31459e83576798edc1705e7ab05ec215513cf95bfc6da35800aff6a04e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28c72c672ce1bb63e9a3806b265334b7acd4f8436f89c0b56595aac9398a1b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-08T17:44:55Z",
    "title_canon_sha256": "f3455a6229956333bcdce73670b7757d11ff0330696d7edd98f32e0e079bc1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09790",
    "kind": "arxiv",
    "version": 1
  }
}