Pith Number

pith:IKMSCUDF

pith:2017:IKMSCUDFU4U557LBDUYV4JLEUS

not attested not anchored not stored refs pending

Non-smooth convex caustics for Birkhoff billiard

Maxim Arnold, Misha Bialy

arxiv:1708.04280 v1 · 2017-08-14 · 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{IKMSCUDFU4U557LBDUYV4JLEUS}

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	2026-05-18T00:17:43.145250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4299215065a729defd611d315e2564a48596a61f2ac976ccdf40d5c35e6c6e9b

Aliases

arxiv: 1708.04280 · arxiv_version: 1708.04280v1 · doi: 10.48550/arxiv.1708.04280 · pith_short_12: IKMSCUDFU4U5 · pith_short_16: IKMSCUDFU4U557LB · pith_short_8: IKMSCUDF

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/IKMSCUDFU4U557LBDUYV4JLEUS \
  | 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: 4299215065a729defd611d315e2564a48596a61f2ac976ccdf40d5c35e6c6e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af6c1895a11c8b5da02db2a2465e3a8d01a9dcb8f250653d296be62743d184b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-14T19:12:53Z",
    "title_canon_sha256": "64ac0b6015bf30b7b1f4ae2f29d98d8ac378f9915c490d63c3b37eb2c96e96c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04280",
    "kind": "arxiv",
    "version": 1
  }
}