Pith Number

pith:7QFUW76C

pith:2019:7QFUW76C43VJ7ZNJ2XNZLTGCZE

not attested not anchored not stored refs pending

The expression of ensemble average internal energy in long-range interaction complex system and its statistical physical properties

Cheng Xu, Liu He, Shenglei Zhang, Yanxiu Liu, Zhifu Huang

arxiv:1902.00217 v1 · 2019-02-01 · 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{7QFUW76C43VJ7ZNJ2XNZLTGCZE}

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	2026-05-17T23:54:58.013419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0b4b7fc2e6ea9fe5a9d5db95ccc2c936d228052e822bb594b8612cb09f3348

Aliases

arxiv: 1902.00217 · arxiv_version: 1902.00217v1 · doi: 10.48550/arxiv.1902.00217 · pith_short_12: 7QFUW76C43VJ · pith_short_16: 7QFUW76C43VJ7ZNJ · pith_short_8: 7QFUW76C

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/7QFUW76C43VJ7ZNJ2XNZLTGCZE \
  | 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: fc0b4b7fc2e6ea9fe5a9d5db95ccc2c936d228052e822bb594b8612cb09f3348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94dfe509b512a8dab06a9a619fe7554658f2db4b87723a7eb07869655e3ea992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-02-01T08:23:40Z",
    "title_canon_sha256": "e0934a439dbad1c81de300efcb0460a24f07c65ecfdf6ed0d1d236e3394fc265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00217",
    "kind": "arxiv",
    "version": 1
  }
}