Pith Number

pith:KDYNCUKZ

pith:2020:KDYNCUKZXVIGFH4ERFFUX247QO

not attested not anchored not stored refs pending

A Theorem on Ellipses, an Integrable System and a Theorem of Boltzmann

Giovanni Gallavotti, Ian Jauslin

arxiv:2008.01955 v1 · 2020-08-05 · math.DS · cond-mat.stat-mech · 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{KDYNCUKZXVIGFH4ERFFUX247QO}

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.

Cited by

2 papers in Pith

Geometric properties of integrable Kepler and Hooke billiards with conic section boundaries

Poncelet property of planar elliptic integrable Kepler billiards

Receipt and verification

First computed	2026-07-05T01:24:56.467599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f0d15159bd50629f84894b4beb9f8392266b90a87f9f90c8995b78eff0a118

Aliases

arxiv: 2008.01955 · arxiv_version: 2008.01955v1 · doi: 10.48550/arxiv.2008.01955 · pith_short_12: KDYNCUKZXVIG · pith_short_16: KDYNCUKZXVIGFH4E · pith_short_8: KDYNCUKZ

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/KDYNCUKZXVIGFH4ERFFUX247QO \
  | 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: 50f0d15159bd50629f84894b4beb9f8392266b90a87f9f90c8995b78eff0a118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00dbbf72c147a1274c1946c7cf4ba47110782d96596bd0d3bf4364a3abaf7ccb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-08-05T06:36:48Z",
    "title_canon_sha256": "9f97eb12f2246d9849b0fae0c7e88b6d34b02a5d7f6311d82c27582114fbc938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.01955",
    "kind": "arxiv",
    "version": 1
  }
}