Pith Number

pith:VWXZPMLU

pith:2019:VWXZPMLU2YHN25PBLTMMJIWTJM

not attested not anchored not stored refs pending

Bilinear pseudo-differential operators with Gevrey-H\"ormander symbols

Ahmed Abdeljawad, Nenad Teofanov, Sandro Coriasco

arxiv:1906.11095 v1 · 2019-06-26 · 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{VWXZPMLU2YHN25PBLTMMJIWTJM}

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	2026-05-17T23:42:09.851431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adaf97b174d60edd75e15cd8c4a2d34b154802abb0a478866ab062411d186710

Aliases

arxiv: 1906.11095 · arxiv_version: 1906.11095v1 · doi: 10.48550/arxiv.1906.11095 · pith_short_12: VWXZPMLU2YHN · pith_short_16: VWXZPMLU2YHN25PB · pith_short_8: VWXZPMLU

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/VWXZPMLU2YHN25PBLTMMJIWTJM \
  | 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: adaf97b174d60edd75e15cd8c4a2d34b154802abb0a478866ab062411d186710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5bb119464d5d4f687fbe50cb84b9c783ac087270c073a5bc1df66644856fbae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-26T13:44:13Z",
    "title_canon_sha256": "dd7ec97b48ed580673a176bfa01fdbc9ed365c89b0ab416f76db25722f8a1d0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11095",
    "kind": "arxiv",
    "version": 1
  }
}