Pith Number

pith:2F3GN3LE

pith:2016:2F3GN3LEAUEUIHHNCDGYKFRWX3

not attested not anchored not stored refs pending

Fundamental Results for Pseudo-Differential Operators of Type $\mathbf{1},\mathbf{1}$

Jon Johnsen

arxiv:1608.04282 v1 · 2016-08-15 · 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{2F3GN3LEAUEUIHHNCDGYKFRWX3}

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	2026-05-18T01:09:03.882238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17666ed640509441ced10cd851636bece56c7cafe34308b3548f5e52ce3012e

Aliases

arxiv: 1608.04282 · arxiv_version: 1608.04282v1 · doi: 10.48550/arxiv.1608.04282 · pith_short_12: 2F3GN3LEAUEU · pith_short_16: 2F3GN3LEAUEUIHHN · pith_short_8: 2F3GN3LE

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/2F3GN3LEAUEUIHHNCDGYKFRWX3 \
  | 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: d17666ed640509441ced10cd851636bece56c7cafe34308b3548f5e52ce3012e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a2dcfc826e10c11f2d77260a8c8d21c60e637537dd2ace23c39448fdcfc321",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-15T14:33:37Z",
    "title_canon_sha256": "ff8202c8420b25c7d5786cbb72587fbd18a87ec443ee18588a07b09928fefce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04282",
    "kind": "arxiv",
    "version": 1
  }
}