Pith Number

pith:X45OWHCY

pith:2025:X45OWHCYHJPOBAVF2KXGVZ7J32

not attested not anchored not stored refs pending

(A)Symmetric Complexity and the Quantum Mpemba Effect

Cameron Beetar, Hendrik J.R. Van Zyl, Jeff Murugan

arxiv:2509.08078 v1 · 2025-09-09 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X45OWHCYHJPOBAVF2KXGVZ7J32}

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	2026-07-05T12:08:21.876136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3aeb1c583a5ee082a5d2ae6ae7e9deaa032c00613c52e1b99f4210ce8c291b

Aliases

arxiv: 2509.08078 · arxiv_version: 2509.08078v1 · doi: 10.48550/arxiv.2509.08078 · pith_short_12: X45OWHCYHJPO · pith_short_16: X45OWHCYHJPOBAVF · pith_short_8: X45OWHCY

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/X45OWHCYHJPOBAVF2KXGVZ7J32 \
  | 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: bf3aeb1c583a5ee082a5d2ae6ae7e9deaa032c00613c52e1b99f4210ce8c291b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7de50a690cdbc940bc813965bf22ada13922778647014d100eefbfb661be4fd6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-09T18:33:00Z",
    "title_canon_sha256": "de005c293e214b4d91f9ca034b87752214707a5d0f1ea22cf5fb56d01648eada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08078",
    "kind": "arxiv",
    "version": 1
  }
}