Pith Number

pith:JYFAE7RF

pith:2016:JYFAE7RFBOWOMEX5QV54TKBJRP

not attested not anchored not stored refs pending

Matrix parameterized pseudo-differential calculi on modulation spaces

Joachim Toft

arxiv:1604.01229 v3 · 2016-04-05 · 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{JYFAE7RFBOWOMEX5QV54TKBJRP}

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	2026-05-18T01:03:59.181353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e0a027e250bace612fd857bc9a8298be7936fc8a4de09c33a8c309f365ace25

Aliases

arxiv: 1604.01229 · arxiv_version: 1604.01229v3 · doi: 10.48550/arxiv.1604.01229 · pith_short_12: JYFAE7RFBOWO · pith_short_16: JYFAE7RFBOWOMEX5 · pith_short_8: JYFAE7RF

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/JYFAE7RFBOWOMEX5QV54TKBJRP \
  | 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: 4e0a027e250bace612fd857bc9a8298be7936fc8a4de09c33a8c309f365ace25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a31da7f87b92e8a1ff93a2f483e4134ca3e80eaa8e37ffdefc396109a34342e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-05T12:09:35Z",
    "title_canon_sha256": "e83719c236b790b69df5e48fe4e736eda4b1a2ee785a1b00a13b55f42743c515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01229",
    "kind": "arxiv",
    "version": 3
  }
}