Pith Number

pith:KI4COYUF

pith:2016:KI4COYUFEBD7PRCSEHXQNN3YTB

not attested not anchored not stored refs pending

Degenerate billiards

Sergey Bolotin

arxiv:1606.06708 v2 · 2016-06-21 · 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{KI4COYUFEBD7PRCSEHXQNN3YTB}

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	2026-05-18T01:12:01.214135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52382762852047f7c45221ef06b778987372ef6aa6a75df8f59c8dc125a46c0d

Aliases

arxiv: 1606.06708 · arxiv_version: 1606.06708v2 · doi: 10.48550/arxiv.1606.06708 · pith_short_12: KI4COYUFEBD7 · pith_short_16: KI4COYUFEBD7PRCS · pith_short_8: KI4COYUF

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/KI4COYUFEBD7PRCSEHXQNN3YTB \
  | 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: 52382762852047f7c45221ef06b778987372ef6aa6a75df8f59c8dc125a46c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db2c5b4eb4b57c222cada7b4c03c04b7c7aa1a6d7e0e7a192c4a90075967eb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-21T19:03:45Z",
    "title_canon_sha256": "825cfe06b6ba0d7796443ec952f89e1b6f46cff239692adae0e917e13e397fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06708",
    "kind": "arxiv",
    "version": 2
  }
}