Pith Number

pith:V6UHUT62

pith:2019:V6UHUT62I2UKDSICQMQKPEPJ6M

not attested not anchored not stored refs pending

The surjectivity of the Borel mapping in the mixed setting for ultradifferentiable ramification spaces

Gerhard Schindl, Javier Jim\'enez-Garrido, Javier Sanz

arxiv:1904.04947 v2 · 2019-04-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6UHUT62I2UKDSICQMQKPEPJ6M}

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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.

Cited by

1 paper in Pith

Ultraholomorphic extension theorems in the mixed setting

Receipt and verification

First computed	2026-07-05T05:28:40.111882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afa87a4fda46a8a1c9028320a791e9f33e0d49d3e9b8827d936dad5c545a65ee

Aliases

arxiv: 1904.04947 · arxiv_version: 1904.04947v2 · doi: 10.48550/arxiv.1904.04947 · pith_short_12: V6UHUT62I2UK · pith_short_16: V6UHUT62I2UKDSIC · pith_short_8: V6UHUT62

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/V6UHUT62I2UKDSICQMQKPEPJ6M \
  | 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: afa87a4fda46a8a1c9028320a791e9f33e0d49d3e9b8827d936dad5c545a65ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8f204b6859b6dd0c40cf88851535040ec7114ce1c9cd457dd60ae6dc629869",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-09T23:16:22Z",
    "title_canon_sha256": "3b3cfc4bbe26eedb9276ced252e4de52f6f1229313c950e16b0ecf4728713816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04947",
    "kind": "arxiv",
    "version": 2
  }
}