Pith Number

pith:2OL3TFTA

pith:2026:2OL3TFTA7N4C5MDN6FD3AO6CXK

not attested not anchored not stored refs pending

Predicting the conditions for observing the Mpemba effect

Fr\'ed\'eric van Wijland, Hisao Hayakawa, Rapha\"el Ch\'etrite, Tan Van Vu, Yue Liu

arxiv:2606.03445 v1 · 2026-06-02 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OL3TFTA7N4C5MDN6FD3AO6CXK}

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	2026-06-03T01:05:58.050312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d397b99660fb782eb06df147b03bc2baa2418a652e5302814237c9b75a6a7d81

Aliases

arxiv: 2606.03445 · arxiv_version: 2606.03445v1 · doi: 10.48550/arxiv.2606.03445 · pith_short_12: 2OL3TFTA7N4C · pith_short_16: 2OL3TFTA7N4C5MDN · pith_short_8: 2OL3TFTA

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/2OL3TFTA7N4C5MDN6FD3AO6CXK \
  | 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: d397b99660fb782eb06df147b03bc2baa2418a652e5302814237c9b75a6a7d81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97cbc056201a48f0f8d1996ad06412728185a673ca572813b4ff0af0fcb51890",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-02T10:28:40Z",
    "title_canon_sha256": "ba7151e78baa22bb3b882be441829d1c139961022f231926cdb36a6957a9749e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03445",
    "kind": "arxiv",
    "version": 1
  }
}