Pith Number

pith:QRAMGUGI

pith:2016:QRAMGUGI6EXKOAM4CGAYLEA42J

not attested not anchored not stored refs pending

Superposition in Modulation Spaces with Ultradifferentiable Weights

Maximilian Reich

arxiv:1603.08723 v1 · 2016-03-29 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRAMGUGI6EXKOAM4CGAYLEA42J}

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	2026-05-18T01:18:05.505542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8440c350c8f12ea7019c118185901cd275007024e552f763cb3c97c2dc9ec248

Aliases

arxiv: 1603.08723 · arxiv_version: 1603.08723v1 · doi: 10.48550/arxiv.1603.08723 · pith_short_12: QRAMGUGI6EXK · pith_short_16: QRAMGUGI6EXKOAM4 · pith_short_8: QRAMGUGI

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/QRAMGUGI6EXKOAM4CGAYLEA42J \
  | 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: 8440c350c8f12ea7019c118185901cd275007024e552f763cb3c97c2dc9ec248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddac3c6daab434591e234c0a4f927e54a15196198b09e48f21812ecfbbd09df5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-29T11:05:19Z",
    "title_canon_sha256": "c67c382d1a01804281b1dfd301d4918d5bf85a9dbe12c0a592bc8c656d382680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08723",
    "kind": "arxiv",
    "version": 1
  }
}