Pith Number

pith:AZSQVD5Z

pith:2019:AZSQVD5ZIPOFSMVC3T7JFS7Q64

not attested not anchored not stored refs pending

Wire billiards, the first steps

Andrey Mironov, Misha Bialy, Serge Tabachnikov

arxiv:1905.13617 v1 · 2019-05-31 · math.DS · math.DG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZSQVD5ZIPOFSMVC3T7JFS7Q64}

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	2026-05-17T23:44:34.408081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06650a8fb943dc5932a2dcfe92cbf0f70713fc16332ab8b9f73eec746027230b

Aliases

arxiv: 1905.13617 · arxiv_version: 1905.13617v1 · doi: 10.48550/arxiv.1905.13617 · pith_short_12: AZSQVD5ZIPOF · pith_short_16: AZSQVD5ZIPOFSMVC · pith_short_8: AZSQVD5Z

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/AZSQVD5ZIPOFSMVC3T7JFS7Q64 \
  | 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: 06650a8fb943dc5932a2dcfe92cbf0f70713fc16332ab8b9f73eec746027230b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a21865c6934b889b0313af4e27a2322dd46570a4130cff12e78c087448fe36d4",
    "cross_cats_sorted": [
      "math.DG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-05-31T13:54:08Z",
    "title_canon_sha256": "46f44ff5fbf9182bf797e2545556c1e5db7074e99112a029f4f22ffbf91043d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13617",
    "kind": "arxiv",
    "version": 1
  }
}