Pith Number

pith:JBEAKLJR

pith:2016:JBEAKLJR6DHXG3YUZWL2GJTCJI

not attested not anchored not stored refs pending

Inhomogeneous microlocal propagation of singularities in Fourier Lebesgue spaces

Alessandro Morando, Gianluca Garello

arxiv:1607.06728 v1 · 2016-07-22 · 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{JBEAKLJR6DHXG3YUZWL2GJTCJI}

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	2026-05-18T01:10:39.223262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4848052d31f0cf736f14cd97a326624a1ee71cef6381dd8f0daff2905b1fd6e2

Aliases

arxiv: 1607.06728 · arxiv_version: 1607.06728v1 · doi: 10.48550/arxiv.1607.06728 · pith_short_12: JBEAKLJR6DHX · pith_short_16: JBEAKLJR6DHXG3YU · pith_short_8: JBEAKLJR

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/JBEAKLJR6DHXG3YUZWL2GJTCJI \
  | 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: 4848052d31f0cf736f14cd97a326624a1ee71cef6381dd8f0daff2905b1fd6e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f93017dbdb307a3256061542af06c0e6ce97ca8e55d0cd46c13e37ddb797560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-22T16:32:52Z",
    "title_canon_sha256": "413923a987274596df909f47fc445c3d0a0a0e60be4ce08f4d51280c945de776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06728",
    "kind": "arxiv",
    "version": 1
  }
}