Pith Number

pith:BPPRU5WT

pith:2020:BPPRU5WT73DIYUGCS23Z5H4OWQ

not attested not anchored not stored refs pending

Projective Dynamics and an Integrable Boltzmann Billiard Model

Lei Zhao

arxiv:2010.15257 v2 · 2020-10-28 · math.DS · 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{BPPRU5WT73DIYUGCS23Z5H4OWQ}

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	2026-07-05T02:22:24.334694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bdf1a76d3fec68c50c296b79e9f8eb42e69cbe53babd6a2cb9a00d57ab33bf0

Aliases

arxiv: 2010.15257 · arxiv_version: 2010.15257v2 · doi: 10.48550/arxiv.2010.15257 · pith_short_12: BPPRU5WT73DI · pith_short_16: BPPRU5WT73DIYUGC · pith_short_8: BPPRU5WT

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/BPPRU5WT73DIYUGCS23Z5H4OWQ \
  | 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: 0bdf1a76d3fec68c50c296b79e9f8eb42e69cbe53babd6a2cb9a00d57ab33bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59aa6563739c2a9f841575b72949a7ad2bb06bfc5a4e041bc5eec376cb0641a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-10-28T22:17:15Z",
    "title_canon_sha256": "d91cd80bb4da78e45659e024bed2ac4330aecd0c684077d59cb05bd241f03913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.15257",
    "kind": "arxiv",
    "version": 2
  }
}