Pith Number

pith:DALG7RV5

pith:2014:DALG7RV5VOTJMSEOSZRE2FWNWE

not attested not anchored not stored refs pending

Statistical computation of Boltzmann entropy and estimation of the optimal probability density function from statistical sample

Min Li, Ning Sui, Ping He

arxiv:1410.5356 v1 · 2014-10-17 · stat.ME · physics.comp-ph · physics.data-an

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DALG7RV5VOTJMSEOSZRE2FWNWE}

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	2026-05-18T01:41:43.461842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18166fc6bdaba696488e96624d16cdb12ae0e2822b41b4cd23481007d83d5b86

Aliases

arxiv: 1410.5356 · arxiv_version: 1410.5356v1 · doi: 10.48550/arxiv.1410.5356 · pith_short_12: DALG7RV5VOTJ · pith_short_16: DALG7RV5VOTJMSEO · pith_short_8: DALG7RV5

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/DALG7RV5VOTJMSEOSZRE2FWNWE \
  | 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: 18166fc6bdaba696488e96624d16cdb12ae0e2822b41b4cd23481007d83d5b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbef774138c0c5ccb80d9a6bbe430e00f09712a71d6f4e2b046c7f836aa9abb9",
    "cross_cats_sorted": [
      "physics.comp-ph",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2014-10-17T16:08:02Z",
    "title_canon_sha256": "b2d7022043c39b20d9964ec7a031e8f579c3f05adfcb0d59edd56541e9200ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5356",
    "kind": "arxiv",
    "version": 1
  }
}