Pith Number

pith:NNIICIA3

pith:2015:NNIICIA3U7ZPUIPA52IONNRBFT

not attested not anchored not stored refs pending

The role of the number of degrees of freedom and chaos in macroscopic irreversibility

Angelo Vulpiani, Fabio Cecconi, Luca Cerino, Massimo Cencini

arxiv:1509.03823 v1 · 2015-09-13 · 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{NNIICIA3U7ZPUIPA52IONNRBFT}

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	2026-05-18T01:27:14.891603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5081201ba7f2fa21e0ee90e6b6212cca29739a512e0ad2479126390f010440

Aliases

arxiv: 1509.03823 · arxiv_version: 1509.03823v1 · doi: 10.48550/arxiv.1509.03823 · pith_short_12: NNIICIA3U7ZP · pith_short_16: NNIICIA3U7ZPUIPA · pith_short_8: NNIICIA3

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/NNIICIA3U7ZPUIPA52IONNRBFT \
  | 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: 6b5081201ba7f2fa21e0ee90e6b6212cca29739a512e0ad2479126390f010440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b32e4b76bd319a0e234807e1dedf55be74eaabff8cd79eefda223d0acbcfa92d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-09-13T07:57:51Z",
    "title_canon_sha256": "a7d32071d6efe53226939c1278a1ae0d48a9b9c120f8de63c88509428819a9a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03823",
    "kind": "arxiv",
    "version": 1
  }
}