Pith Number

pith:7IZKJ5VI

pith:2010:7IZKJ5VIXPYTWZS7ETOGWIE4M2

not attested not anchored not stored refs pending

Entropy production and equilibration in Yang-Mills quantum mechanics

Berndt M\"uller, Hung-Ming Tsai

arxiv:1011.3508 v2 · 2010-11-15 · nucl-th · 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{7IZKJ5VIXPYTWZS7ETOGWIE4M2}

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	2026-05-18T00:16:03.449863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa32a4f6a8bbf13b665f24dc6b209c669be90ec4edd0f0ca16152ecae7608d14

Aliases

arxiv: 1011.3508 · arxiv_version: 1011.3508v2 · doi: 10.48550/arxiv.1011.3508 · pith_short_12: 7IZKJ5VIXPYT · pith_short_16: 7IZKJ5VIXPYTWZS7 · pith_short_8: 7IZKJ5VI

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/7IZKJ5VIXPYTWZS7ETOGWIE4M2 \
  | 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: fa32a4f6a8bbf13b665f24dc6b209c669be90ec4edd0f0ca16152ecae7608d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87a0784c5c9e6dd8d3999e0e1b4ead2bdc7c9e6d442ea5da4761a6bc22cc4e55",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2010-11-15T20:54:48Z",
    "title_canon_sha256": "10e77b1642a9955d6754359fb8b65aa27206421a2aba2f95bcd657d4f3dc4214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3508",
    "kind": "arxiv",
    "version": 2
  }
}