Pith Number

pith:L7T3QBIE

pith:2016:L7T3QBIENUL5OUQ2KGIE2ZAW4M

not attested not anchored not stored refs pending

Harmonic chain with velocity flips: thermalization and kinetic theory

Alessia Nota, Jani Lukkarinen, Matteo Marcozzi

arxiv:1604.08135 v2 · 2016-04-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7T3QBIENUL5OUQ2KGIE2ZAW4M}

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	2026-05-18T00:25:02.270715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe7b805046d17d7521a51904d6416e33753caa980e0c540af7466ad13c1f77c

Aliases

arxiv: 1604.08135 · arxiv_version: 1604.08135v2 · doi: 10.48550/arxiv.1604.08135 · pith_short_12: L7T3QBIENUL5 · pith_short_16: L7T3QBIENUL5OUQ2 · pith_short_8: L7T3QBIE

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/L7T3QBIENUL5OUQ2KGIE2ZAW4M \
  | 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: 5fe7b805046d17d7521a51904d6416e33753caa980e0c540af7466ad13c1f77c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672b8b9124e448ace9bcafaee1ed451e827f148f1b59e2d07551c1e9d17d4a98",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-27T16:35:21Z",
    "title_canon_sha256": "9b74c748dc80d0ad2e7b5301f8f4bfc46bf8a13298be772fa2ff461611e26937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08135",
    "kind": "arxiv",
    "version": 2
  }
}