Pith Number

pith:3O6UNRZA

pith:2011:3O6UNRZAA5YXPY7VAMGKVQH7LS

not attested not anchored not stored refs pending

Billiard algebra, integrable line congruences, and double reflection nets

Milena Radnovic, Vladimir Dragovic

arxiv:1112.5860 v2 · 2011-12-26 · nlin.SI · math.AG · 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{3O6UNRZAA5YXPY7VAMGKVQH7LS}

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	2026-05-18T03:37:41.552338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbbd46c720077177e3f5030caac0ff5cade8db6570c0b64de9f0853752be65f4

Aliases

arxiv: 1112.5860 · arxiv_version: 1112.5860v2 · doi: 10.48550/arxiv.1112.5860 · pith_short_12: 3O6UNRZAA5YX · pith_short_16: 3O6UNRZAA5YXPY7V · pith_short_8: 3O6UNRZA

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/3O6UNRZAA5YXPY7VAMGKVQH7LS \
  | 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: dbbd46c720077177e3f5030caac0ff5cade8db6570c0b64de9f0853752be65f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a73af7c0086883b433e6595a71fd9e8f65c764992a54fcb484bdbeaa2c81f5b3",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-12-26T14:43:32Z",
    "title_canon_sha256": "1ec8da9055f915b72c5c80f13f5d5349fcf89caaf34604d292987161c1458167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5860",
    "kind": "arxiv",
    "version": 2
  }
}