Pith Number

pith:H4YIGNTF

pith:2017:H4YIGNTFYVWTGYG347GOUGZGK7

not attested not anchored not stored refs pending

The Dynamics of Super-Apollonian Continued Fractions

Elena Fuchs, Katherine E. Stange, Robert Hines, Sneha Chaubey

arxiv:1703.08616 v1 · 2017-03-24 · math.NT · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4YIGNTFYVWTGYG347GOUGZGK7}

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	2026-05-18T00:45:11.002695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f30833665c56d3360dbe7ccea1b2657c89e8ec05f579e881848ae2143c89bbb

Aliases

arxiv: 1703.08616 · arxiv_version: 1703.08616v1 · doi: 10.48550/arxiv.1703.08616 · pith_short_12: H4YIGNTFYVWT · pith_short_16: H4YIGNTFYVWTGYG3 · pith_short_8: H4YIGNTF

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/H4YIGNTFYVWTGYG347GOUGZGK7 \
  | 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: 3f30833665c56d3360dbe7ccea1b2657c89e8ec05f579e881848ae2143c89bbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa8867e1a08cbbf76eca1cd9c51f949c6003d446a20d866b1f137d0ac3884cc",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-24T22:33:31Z",
    "title_canon_sha256": "98960cef99202b97e6e3e1b0fa37eb96f8ae42ce83fefa5cad64db1a90a9a8d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08616",
    "kind": "arxiv",
    "version": 1
  }
}