Pith Number

pith:DJD6FAF4

pith:2018:DJD6FAF4P65OXZIM55K5J5TBOU

not attested not anchored not stored refs pending

Condensation of Eigen Microstate in Statistical Ensemble and Phase Transition

Gaoke Hu, Maoxin Liu, Teng Liu, Wei Chen, Xiaosong Chen

arxiv:1812.08412 v1 · 2018-12-20 · 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{DJD6FAF4P65OXZIM55K5J5TBOU}

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	2026-05-17T23:57:50.044615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a47e280bc7fbaebe50cef55d4f6617527f36839535555c2a58f42d09e022d54

Aliases

arxiv: 1812.08412 · arxiv_version: 1812.08412v1 · doi: 10.48550/arxiv.1812.08412 · pith_short_12: DJD6FAF4P65O · pith_short_16: DJD6FAF4P65OXZIM · pith_short_8: DJD6FAF4

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/DJD6FAF4P65OXZIM55K5J5TBOU \
  | 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: 1a47e280bc7fbaebe50cef55d4f6617527f36839535555c2a58f42d09e022d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f33cd0e97c7f580041c98097bc36d2bd9c409b365da89bf846bcab3c1aa132c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-12-20T08:28:38Z",
    "title_canon_sha256": "10563ab52c3727c0b8dcf3fb7f1ed53dbd6eb1b8820312a929d121af0ad7d0b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08412",
    "kind": "arxiv",
    "version": 1
  }
}