Pith Number

pith:FAIIRKAP

pith:2018:FAIIRKAPXGOCQT5TOCRDJZJ4H7

not attested not anchored not stored refs pending

Bilinear pseudo-differential operators with exotic symbols, II

Akihiko Miyachi, Naohito Tomita

arxiv:1801.06745 v1 · 2018-01-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAIIRKAPXGOCQT5TOCRDJZJ4H7}

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	2026-05-18T00:25:27.865785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281088a80fb99c284fb370a234e53c3fe5483d2a1a6c38440e00d6e3a1846fce

Aliases

arxiv: 1801.06745 · arxiv_version: 1801.06745v1 · doi: 10.48550/arxiv.1801.06745 · pith_short_12: FAIIRKAPXGOC · pith_short_16: FAIIRKAPXGOCQT5T · pith_short_8: FAIIRKAP

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/FAIIRKAPXGOCQT5TOCRDJZJ4H7 \
  | 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: 281088a80fb99c284fb370a234e53c3fe5483d2a1a6c38440e00d6e3a1846fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b84e255f2302f1d0490d364866de2f6c1c9972d43bc93726273a067757f13da1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-21T00:40:57Z",
    "title_canon_sha256": "dcc79fa27cc5c92e847f06ac24fdbf1629ae18ced542b39c660a1b3f72cffda3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06745",
    "kind": "arxiv",
    "version": 1
  }
}