Pith Number

pith:B3B5TMQT

pith:2018:B3B5TMQTRCBFE2JIDPQ3NG7HQA

not attested not anchored not stored refs pending

Convergence to equilibrium due to collisions with external particles

Alexandr Lykov, Vadim Malyshev

arxiv:1812.08242 v1 · 2018-12-19 · 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{B3B5TMQTRCBFE2JIDPQ3NG7HQA}

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	2026-05-17T23:57:51.843361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec3d9b21388825269281be1b69be78009ff8d9e10b30ab0abf3f6bdcedd6ff7

Aliases

arxiv: 1812.08242 · arxiv_version: 1812.08242v1 · doi: 10.48550/arxiv.1812.08242 · pith_short_12: B3B5TMQTRCBF · pith_short_16: B3B5TMQTRCBFE2JI · pith_short_8: B3B5TMQT

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/B3B5TMQTRCBFE2JIDPQ3NG7HQA \
  | 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: 0ec3d9b21388825269281be1b69be78009ff8d9e10b30ab0abf3f6bdcedd6ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58913893b542227cef7f603938a8800039a82055fb1549598dbd7bc138909791",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-19T20:58:17Z",
    "title_canon_sha256": "1e8d01ac20dbf71fe0ef45a484ab8e8cea412c3a7fc199ccdcf345eb150b5bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08242",
    "kind": "arxiv",
    "version": 1
  }
}