Pith Number

pith:ZAN6QNUP

pith:2010:ZAN6QNUPPSAZMCWB2UXMHXAJMN

not attested not anchored not stored refs pending

Is Einstein's relation D = kTU always true?

Roumen Tsekov

arxiv:1004.1717 v4 · 2010-04-10 · cond-mat.stat-mech · 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{ZAN6QNUPPSAZMCWB2UXMHXAJMN}

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	2026-05-18T04:24:53.137943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c81be8368f7c81960ac1d52ec3dc0963618ef7e87f352780c2871a90bcd4f796

Aliases

arxiv: 1004.1717 · arxiv_version: 1004.1717v4 · doi: 10.48550/arxiv.1004.1717 · pith_short_12: ZAN6QNUPPSAZ · pith_short_16: ZAN6QNUPPSAZMCWB · pith_short_8: ZAN6QNUP

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/ZAN6QNUPPSAZMCWB2UXMHXAJMN \
  | 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: c81be8368f7c81960ac1d52ec3dc0963618ef7e87f352780c2871a90bcd4f796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64033c12cdf17f8b016a6720b166676d35a7f00cab9bbf0ff5f13460fee5dfc9",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-04-10T15:03:43Z",
    "title_canon_sha256": "fb529a35878b7759742355a84c133698d4d0c2b00bc5779818701b34d06b9464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1717",
    "kind": "arxiv",
    "version": 4
  }
}