Pith Number

pith:HJAVHFIP

pith:2021:HJAVHFIPMC5XSQE2SCXA3ABUTE

not attested not anchored not stored refs pending

Conformal Transformations and Integrable Mechanical Billiards

Airi Takeuchi, Lei Zhao

arxiv:2110.03376 v1 · 2021-10-07 · 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{HJAVHFIPMC5XSQE2SCXA3ABUTE}

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	2026-07-05T03:20:41.971012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4153950f60bb79409a90ae0d8034993bd5bc492b37aa498d21b88f53ad3406

Aliases

arxiv: 2110.03376 · arxiv_version: 2110.03376v1 · doi: 10.48550/arxiv.2110.03376 · pith_short_12: HJAVHFIPMC5X · pith_short_16: HJAVHFIPMC5XSQE2 · pith_short_8: HJAVHFIP

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/HJAVHFIPMC5XSQE2SCXA3ABUTE \
  | 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: 3a4153950f60bb79409a90ae0d8034993bd5bc492b37aa498d21b88f53ad3406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234c16f778250997758b02a8b86489eea68f4d4efa3c0d4510f064e478dc1778",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-10-07T12:14:10Z",
    "title_canon_sha256": "a07c8e01ebbb2f1a01889c4609e89f8d0a4090b35ee6a751f269662380238886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03376",
    "kind": "arxiv",
    "version": 1
  }
}