Pith Number

pith:KT5MWP4Q

pith:2015:KT5MWP4Q2CTWRSY6C6WIKYYPVL

not attested not anchored not stored refs pending

Comparison of canonical and microcanonical definitions of entropy

Lachlan Lancaster, Michael Matty, Robert H. Swendsen, William Griffin

arxiv:1511.02830 v3 · 2015-11-09 · 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{KT5MWP4Q2CTWRSY6C6WIKYYPVL}

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	2026-05-18T01:11:38.627999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54facb3f90d0a768cb1e17ac85630faadfd7995e91e7f71d1f27d35c62903252

Aliases

arxiv: 1511.02830 · arxiv_version: 1511.02830v3 · doi: 10.48550/arxiv.1511.02830 · pith_short_12: KT5MWP4Q2CTW · pith_short_16: KT5MWP4Q2CTWRSY6 · pith_short_8: KT5MWP4Q

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/KT5MWP4Q2CTWRSY6C6WIKYYPVL \
  | 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: 54facb3f90d0a768cb1e17ac85630faadfd7995e91e7f71d1f27d35c62903252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69163ea0b4e8246772da8cc9fdb49c4da65c1890aa30c2314f9d01d6c889e3a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-09T20:24:12Z",
    "title_canon_sha256": "20453235cf1778a27f0862b35e5bb8d53fd150338ffbec15cec1b7fb2b2c50f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02830",
    "kind": "arxiv",
    "version": 3
  }
}