Pith Number

pith:ASYMFO5T

pith:2013:ASYMFO5TSZPJPKNK62WQRYTVTO

not attested not anchored not stored refs pending

On quadrilateral orbits in complex algebraic planar billiards

Alexey Glutsyuk

arxiv:1309.1843 v2 · 2013-09-07 · math.DS · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASYMFO5TSZPJPKNK62WQRYTVTO}

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	2026-05-18T03:01:10.266872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b0c2bbb3965e97a9aaf6ad08e2759b8946a34ea2addb8019fd2718c4735c92

Aliases

arxiv: 1309.1843 · arxiv_version: 1309.1843v2 · doi: 10.48550/arxiv.1309.1843 · pith_short_12: ASYMFO5TSZPJ · pith_short_16: ASYMFO5TSZPJPKNK · pith_short_8: ASYMFO5T

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/ASYMFO5TSZPJPKNK62WQRYTVTO \
  | 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: 04b0c2bbb3965e97a9aaf6ad08e2759b8946a34ea2addb8019fd2718c4735c92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a81d1f53ad0b35a746b27198e259ff15ba48cc0c0d96fc44d41c10b376b8bc2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-07T09:58:12Z",
    "title_canon_sha256": "e6779227bc6d0af6f253d3e5b146a81c406f0c3e5abcc9258163cbca1df28326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1843",
    "kind": "arxiv",
    "version": 2
  }
}