Pith Number

pith:TP57HZZ3

pith:2016:TP57HZZ3LJOZ5KVGCE7WTFFBEF

not attested not anchored not stored refs pending

The MacLane class and the Eremenko-Lyubich class

David J. Sixsmith, Karl F. Barth, Philip J. Rippon

arxiv:1611.03292 v1 · 2016-11-10 · 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{TP57HZZ3LJOZ5KVGCE7WTFFBEF}

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	2026-05-18T00:24:39.864346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bfbf3e73b5a5d9eaaa6113f6994a1214b25d1526127bf778c6a90842a8905e3

Aliases

arxiv: 1611.03292 · arxiv_version: 1611.03292v1 · doi: 10.48550/arxiv.1611.03292 · pith_short_12: TP57HZZ3LJOZ · pith_short_16: TP57HZZ3LJOZ5KVG · pith_short_8: TP57HZZ3

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/TP57HZZ3LJOZ5KVGCE7WTFFBEF \
  | 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: 9bfbf3e73b5a5d9eaaa6113f6994a1214b25d1526127bf778c6a90842a8905e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "766488687b9e21062e1b84b619c7e161e14f98d36c699194867f94dd750e5175",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-11-10T13:01:17Z",
    "title_canon_sha256": "87c2436c5f3a48494773d0136d465f491ae9478b34ba9d6c2e7998c1c6086fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03292",
    "kind": "arxiv",
    "version": 1
  }
}