Pith Number

pith:API3KYJX

pith:2010:API3KYJXTXR2AUJL4B3HBTZH46

not attested not anchored not stored refs pending

Convergence of macrostates under reproducible processes

Jochen Rau

arxiv:1004.4475 v2 · 2010-04-26 · quant-ph · 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{API3KYJXTXR2AUJL4B3HBTZH46}

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	2026-05-18T04:42:33.633143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d1b561379de3a0512be07670cf27e7b6da340dd4bc964136edd0bd0cdd25b8

Aliases

arxiv: 1004.4475 · arxiv_version: 1004.4475v2 · doi: 10.48550/arxiv.1004.4475 · pith_short_12: API3KYJXTXR2 · pith_short_16: API3KYJXTXR2AUJL · pith_short_8: API3KYJX

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/API3KYJXTXR2AUJL4B3HBTZH46 \
  | 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: 03d1b561379de3a0512be07670cf27e7b6da340dd4bc964136edd0bd0cdd25b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fecc33f385d6f114f43aa5f8b562b65730403d73b5dd4851685c1200fb64c426",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-26T10:46:27Z",
    "title_canon_sha256": "5af0a4c05631f526e92d6755319ba9bf42399ce05f70bc9143e0cf4674f08bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4475",
    "kind": "arxiv",
    "version": 2
  }
}