Pith Number

pith:AZ4SEJOI

pith:2026:AZ4SEJOIYP67FXT3VBKFLFKCUI

not attested not anchored not stored refs pending

Quantization of the classical Mpemba effect

Alexander P. Antonov, Artur Widera, Benno Liebchen, Giovanna Morigi, Hartmut L\"owen, Jannis Melles, Michael te Vrugt

arxiv:2607.06071 v1 · 2026-07-07 · 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{AZ4SEJOIYP67FXT3VBKFLFKCUI}

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	2026-07-08T01:18:55.770743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06792225c8c3fdf2de7ba854559542a2391225bfa1ff8cf6f4e8ce6d755bea04

Aliases

arxiv: 2607.06071 · arxiv_version: 2607.06071v1 · doi: 10.48550/arxiv.2607.06071 · pith_short_12: AZ4SEJOIYP67 · pith_short_16: AZ4SEJOIYP67FXT3 · pith_short_8: AZ4SEJOI

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/AZ4SEJOIYP67FXT3VBKFLFKCUI \
  | 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: 06792225c8c3fdf2de7ba854559542a2391225bfa1ff8cf6f4e8ce6d755bea04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8f31c1a76e99e5e828576a4f19683d73302de65f47d6cdf4d60bdf9be106c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-07T09:42:11Z",
    "title_canon_sha256": "18caa70d17e61d4f7995faf305229dc74dfd3a1e60dad0cc5878bd67e3deeddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06071",
    "kind": "arxiv",
    "version": 1
  }
}