Pith Number

pith:NE6IXHPE

pith:2022:NE6IXHPEYZIQGD7PDNNU56YSU7

not attested not anchored not stored refs pending

Projective Integrable Mechanical Billiards

Airi Takeuchi, Lei Zhao

arxiv:2203.12938 v1 · 2022-03-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NE6IXHPEYZIQGD7PDNNU56YSU7}

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	2026-07-05T04:08:19.124873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693c8b9de4c651030fef1b5b4efb12a7e781ff1b403eb853fa78e8cdbdde03df

Aliases

arxiv: 2203.12938 · arxiv_version: 2203.12938v1 · doi: 10.48550/arxiv.2203.12938 · pith_short_12: NE6IXHPEYZIQ · pith_short_16: NE6IXHPEYZIQGD7P · pith_short_8: NE6IXHPE

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/NE6IXHPEYZIQGD7PDNNU56YSU7 \
  | 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: 693c8b9de4c651030fef1b5b4efb12a7e781ff1b403eb853fa78e8cdbdde03df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84801515646efd505c942d039f53222cec488a18534f8eefe7af1cb99bcacac1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-03-24T08:54:49Z",
    "title_canon_sha256": "8fa930ffbd66b4b90fba981a76a94a18562a110fe7dd71fc6033bd03829cf02f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.12938",
    "kind": "arxiv",
    "version": 1
  }
}