Pith Number

pith:BIN44TXX

pith:2017:BIN44TXX47N3QXT7KKXTOPM47Q

not attested not anchored not stored refs pending

The Ptolemy-Alhazen problem and spherical mirror reflection

Marcelina Mocanu, Masayo Fujimura, Matti Vuorinen, Parisa Hariri

arxiv:1706.06924 v3 · 2017-06-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIN44TXX47N3QXT7KKXTOPM47Q}

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	2026-05-18T00:25:23.672936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a1bce4ef7e7dbb85e7f52af373d9cfc0b6860c68ec2ccbe74941088a88955d9

Aliases

arxiv: 1706.06924 · arxiv_version: 1706.06924v3 · doi: 10.48550/arxiv.1706.06924 · pith_short_12: BIN44TXX47N3 · pith_short_16: BIN44TXX47N3QXT7 · pith_short_8: BIN44TXX

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/BIN44TXX47N3QXT7KKXTOPM47Q \
  | 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: 0a1bce4ef7e7dbb85e7f52af373d9cfc0b6860c68ec2ccbe74941088a88955d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d211eff4d5353ae6b84c022434d5dfe20c182577752d3390cbf81851bd44a0b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-06-21T14:21:13Z",
    "title_canon_sha256": "54d15b5ac154105dec8b5e65015f8abf61d79245496b671b0dcf781855e90d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06924",
    "kind": "arxiv",
    "version": 3
  }
}