Pith Number

pith:QX4TLM4C

pith:2018:QX4TLM4COYK3I5V2UBHCADLE4X

not attested not anchored not stored refs pending

On the extension of Whitney ultrajets, II

Armin Rainer, Gerhard Schindl

arxiv:1808.10253 v2 · 2018-08-30 · math.CA · 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{QX4TLM4COYK3I5V2UBHCADLE4X}

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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	2026-07-05T05:28:40.013546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f935b3827615b476baa04e200d64e5d0736e264dac828f6ea74a885ca99228

Aliases

arxiv: 1808.10253 · arxiv_version: 1808.10253v2 · doi: 10.48550/arxiv.1808.10253 · pith_short_12: QX4TLM4COYK3 · pith_short_16: QX4TLM4COYK3I5V2 · pith_short_8: QX4TLM4C

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/QX4TLM4COYK3I5V2UBHCADLE4X \
  | 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: 85f935b3827615b476baa04e200d64e5d0736e264dac828f6ea74a885ca99228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a584286576808a9c078e8118e74949a9b4aa0e8385276ae6ea266ba8f84754c5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-08-30T12:51:09Z",
    "title_canon_sha256": "b5f604be3266e918705fae5a56a020c7972587d4e01d43adbe6dfcd2147b633e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10253",
    "kind": "arxiv",
    "version": 2
  }
}