Pith Number

pith:GUT7D4C2

pith:2026:GUT7D4C25QBXNAOKPLC27EK525

not attested not anchored not stored refs pending

Spectral Chaos Does Not Determine Quantum Mpemba Crossings

Ri-Hua Zheng, Yang Xiao, Yan Xia, Ye-Hong Chen, Yu Wang

arxiv:2607.07081 v1 · 2026-07-08 · 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{GUT7D4C25QBXNAOKPLC27EK525}

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	2026-07-09T01:20:13.966783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3527f1f05aec037681ca7ac5af915dd7534e67d6f568a4ab71d87980cd8a7282

Aliases

arxiv: 2607.07081 · arxiv_version: 2607.07081v1 · doi: 10.48550/arxiv.2607.07081 · pith_short_12: GUT7D4C25QBX · pith_short_16: GUT7D4C25QBXNAOK · pith_short_8: GUT7D4C2

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/GUT7D4C25QBXNAOKPLC27EK525 \
  | 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: 3527f1f05aec037681ca7ac5af915dd7534e67d6f568a4ab71d87980cd8a7282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d043a6e5e4a07221ba5b8e0fa410cce99dd926374edd6aaad965fee26922e825",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-08T07:11:57Z",
    "title_canon_sha256": "fcf36bca0a458e61d7410f6675d4425df17d910a47420d7683fb739de462eaf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07081",
    "kind": "arxiv",
    "version": 1
  }
}