Pith Number

pith:45U6DVNL

pith:2018:45U6DVNLP72WGQQCWJ5DEOD4WS

not attested not anchored not stored refs pending

Hyperbolic Equivariants of Rational Maps

Kenneth Jacobs

arxiv:1803.07460 v1 · 2018-03-20 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45U6DVNLP72WGQQCWJ5DEOD4WS}

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	2026-05-18T00:20:33.125613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e769e1d5ab7ff5634202b27a32387cb48c71497b9ed2e5ae7bcc268d8af24a93

Aliases

arxiv: 1803.07460 · arxiv_version: 1803.07460v1 · doi: 10.48550/arxiv.1803.07460 · pith_short_12: 45U6DVNLP72W · pith_short_16: 45U6DVNLP72WGQQC · pith_short_8: 45U6DVNL

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/45U6DVNLP72WGQQCWJ5DEOD4WS \
  | 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: e769e1d5ab7ff5634202b27a32387cb48c71497b9ed2e5ae7bcc268d8af24a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96931541adaecf641549b8b64c5dad84daf75b790be54dc799d5bffc05a19af2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-20T14:42:05Z",
    "title_canon_sha256": "2f84a30370553fce3658fd2719422f4fe0ec66a4ea3b7fb72d20e215444d9533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07460",
    "kind": "arxiv",
    "version": 1
  }
}