Pith Number

pith:H2DALXWO

pith:2011:H2DALXWOTXAD2TCQFGJ43B3WI2

not attested not anchored not stored refs pending

Regular simplices and periodic billiard orbits

Michael Rao, Nicolas Bedaride

arxiv:1112.2370 v3 · 2011-12-11 · 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{H2DALXWOTXAD2TCQFGJ43B3WI2}

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	2026-05-18T02:42:15.359344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e8605dece9dc03d4c502993cd877646be2237abf955253fe1d36528841785e0

Aliases

arxiv: 1112.2370 · arxiv_version: 1112.2370v3 · doi: 10.48550/arxiv.1112.2370 · pith_short_12: H2DALXWOTXAD · pith_short_16: H2DALXWOTXAD2TCQ · pith_short_8: H2DALXWO

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/H2DALXWOTXAD2TCQFGJ43B3WI2 \
  | 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: 3e8605dece9dc03d4c502993cd877646be2237abf955253fe1d36528841785e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "746f07796a2583ec2419858a46863995eebb6c8daac401f43a10fa86796b6976",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-11T15:57:06Z",
    "title_canon_sha256": "33650ee56793ca7f312d7ed4edd2838c39eff3a93a4a3382e8e9714e4cd951a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2370",
    "kind": "arxiv",
    "version": 3
  }
}