Pith Number

pith:3XKZAZLO

pith:2021:3XKZAZLOSH3EWBFWJY3IWIAIT2

not attested not anchored not stored refs pending

Probability and Irreversibility in Modern Statistical Mechanics: Classical and Quantum

David Wallace

arxiv:2104.11223 v1 · 2021-04-22 · 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{3XKZAZLOSH3EWBFWJY3IWIAIT2}

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	2026-07-05T02:34:18.936835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd590656e91f64b04b64e368b20089e99568bff5a8b1f921ba4e6edd23b9693

Aliases

arxiv: 2104.11223 · arxiv_version: 2104.11223v1 · doi: 10.48550/arxiv.2104.11223 · pith_short_12: 3XKZAZLOSH3E · pith_short_16: 3XKZAZLOSH3EWBFW · pith_short_8: 3XKZAZLO

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/3XKZAZLOSH3EWBFWJY3IWIAIT2 \
  | 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: ddd590656e91f64b04b64e368b20089e99568bff5a8b1f921ba4e6edd23b9693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f37e6c6784544f6c17eee92f99cb62a9d23436306e5d04eb9f6810c1f610614b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-04-22T17:58:41Z",
    "title_canon_sha256": "32e3655b1dfcdc7b5e88d1960e7be188884185f68a3408ac70f47c586d87282e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11223",
    "kind": "arxiv",
    "version": 1
  }
}