Pith Number

pith:32JNOID7

pith:2016:32JNOID7AJ4G6GNKNLIZWSMAEV

not attested not anchored not stored refs pending

Simultaneous models for commuting holomorphic self-maps of the ball

Filippo Bracci, Leandro Arosio

arxiv:1607.04555 v2 · 2016-07-15 · 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{32JNOID7AJ4G6GNKNLIZWSMAEV}

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	2026-05-18T00:33:39.668301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de92d7207f02786f19aa6ad19b49802569a90fa37691c6d9caf01f2af1713ca2

Aliases

arxiv: 1607.04555 · arxiv_version: 1607.04555v2 · doi: 10.48550/arxiv.1607.04555 · pith_short_12: 32JNOID7AJ4G · pith_short_16: 32JNOID7AJ4G6GNK · pith_short_8: 32JNOID7

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/32JNOID7AJ4G6GNKNLIZWSMAEV \
  | 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: de92d7207f02786f19aa6ad19b49802569a90fa37691c6d9caf01f2af1713ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c78c80955a911f94c28cfea86259ba8268fbe601cff288aa16b1e91e48019865",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-15T15:34:43Z",
    "title_canon_sha256": "4a2a6313e40c7551a39d122195663a3671c552a52ab561a7a9c747c1215c35d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04555",
    "kind": "arxiv",
    "version": 2
  }
}