Pith Number

pith:G7CEUBH2

pith:2015:G7CEUBH2JVO72SAZHT5LJLA64G

not attested not anchored not stored refs pending

Entropy and Complexity of Polygonal Billiards with Spy Mirrors

Alexandra Skripchenko, Serge Troubetzkoy (I2M)

arxiv:1501.04584 v2 · 2015-01-19 · 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{G7CEUBH2JVO72SAZHT5LJLA64G}

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	2026-05-18T01:31:45.801737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c44a04fa4d5dfd48193cfab4ac1ee1992942f107d763652d74eba67a5d14bd

Aliases

arxiv: 1501.04584 · arxiv_version: 1501.04584v2 · doi: 10.48550/arxiv.1501.04584 · pith_short_12: G7CEUBH2JVO7 · pith_short_16: G7CEUBH2JVO72SAZ · pith_short_8: G7CEUBH2

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/G7CEUBH2JVO72SAZHT5LJLA64G \
  | 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: 37c44a04fa4d5dfd48193cfab4ac1ee1992942f107d763652d74eba67a5d14bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c8837488a93962f0b2dab7c6fdbecc58dc6504a3e009ce5e3ae2b69782f0d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-19T18:43:15Z",
    "title_canon_sha256": "95d9b5cc0444bc128ed91b77a5194e8463014de521db0565b690c52b3c0836de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04584",
    "kind": "arxiv",
    "version": 2
  }
}