Pith Number

pith:CLYECIOH

pith:2012:CLYECIOH5G7BMUEB6ZVBTVXGTJ

not attested not anchored not stored refs pending

Entropy and Ionic Conductivity

Yong-Jun Zhang

arxiv:1209.5570 v1 · 2012-09-25 · cond-mat.stat-mech · math-ph · math.MP · physics.gen-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{CLYECIOH5G7BMUEB6ZVBTVXGTJ}

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	2026-05-18T01:10:39.025835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f04121c7e9be165081f66a19d6e69a7fc4f814165f884e4aba090cf4685620

Aliases

arxiv: 1209.5570 · arxiv_version: 1209.5570v1 · doi: 10.48550/arxiv.1209.5570 · pith_short_12: CLYECIOH5G7B · pith_short_16: CLYECIOH5G7BMUEB · pith_short_8: CLYECIOH

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/CLYECIOH5G7BMUEB6ZVBTVXGTJ \
  | 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: 12f04121c7e9be165081f66a19d6e69a7fc4f814165f884e4aba090cf4685620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26ef32ba120a338471f6f35226e9246fc5343fc33131d6339d0f1831dc500485",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.gen-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-09-25T10:44:26Z",
    "title_canon_sha256": "a1b15fea117ce9564bb3246af08aa23a633a63e589ff67d511961ea298659d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5570",
    "kind": "arxiv",
    "version": 1
  }
}