Pith Number

pith:JF6NTTDN

pith:2015:JF6NTTDNG67223OQVBWCU3YSC5

not attested not anchored not stored refs pending

Topological invariants for semigroups of holomorphic self-maps of the unit disc

Filippo Bracci, Manuel D. Contreras, Santiago Diaz-Madrigal

arxiv:1506.08365 v2 · 2015-06-28 · math.CV · 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{JF6NTTDNG67223OQVBWCU3YSC5}

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	2026-05-18T01:19:38.697558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

497cd9cc6d37bfad6dd0a86c2a6f12177f0eed14701b3e90958bffe596b24f08

Aliases

arxiv: 1506.08365 · arxiv_version: 1506.08365v2 · doi: 10.48550/arxiv.1506.08365 · pith_short_12: JF6NTTDNG672 · pith_short_16: JF6NTTDNG67223OQ · pith_short_8: JF6NTTDN

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/JF6NTTDNG67223OQVBWCU3YSC5 \
  | 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: 497cd9cc6d37bfad6dd0a86c2a6f12177f0eed14701b3e90958bffe596b24f08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4433df26abf3c85994c056f11d493f9e36951f6d63184ea51818abee83d1886a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-06-28T06:43:23Z",
    "title_canon_sha256": "f83aac4e2945d2fd93cb5a424344f0a07d57325124b5e2c689e71afc00a55714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08365",
    "kind": "arxiv",
    "version": 2
  }
}