Pith Number

pith:PCT3D5VX

pith:2016:PCT3D5VXKAFGDHOA4BCEVPQMOQ

not attested not anchored not stored refs pending

Repeated compositions of Moebius transformations

Ian Short, Matthew Jacques

arxiv:1609.01261 v1 · 2016-09-05 · 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{PCT3D5VXKAFGDHOA4BCEVPQMOQ}

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	2026-05-18T01:06:18.479419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a7b1f6b7500a619dc0e0444abe0c741f3b3361f5a70db8563e9d495e4534e5

Aliases

arxiv: 1609.01261 · arxiv_version: 1609.01261v1 · doi: 10.48550/arxiv.1609.01261 · pith_short_12: PCT3D5VXKAFG · pith_short_16: PCT3D5VXKAFGDHOA · pith_short_8: PCT3D5VX

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/PCT3D5VXKAFGDHOA4BCEVPQMOQ \
  | 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: 78a7b1f6b7500a619dc0e0444abe0c741f3b3361f5a70db8563e9d495e4534e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acbdf05176415b3d2fbc50941802b1062626a1230faa7d8343dc2cba098c2e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-05T19:28:20Z",
    "title_canon_sha256": "4f8efc419ba1454902a08781f8aea7b22bf9bfa6138057a074f19a82ec586449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01261",
    "kind": "arxiv",
    "version": 1
  }
}