Pith Number

pith:6BRWXLGR

pith:2013:6BRWXLGRWYKBSX65G7CLLAOOBU

not attested not anchored not stored refs pending

The equality of the homogeneous and the Gabor wave front set

Patrik Wahlberg, Ren\'e Schulz

arxiv:1304.7608 v3 · 2013-04-29 · math.AP · 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{6BRWXLGRWYKBSX65G7CLLAOOBU}

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	2026-05-18T01:10:38.985091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0636bacd1b614195fdd37c4b581ce0d30d43b4efac71df73d75f25d491024db

Aliases

arxiv: 1304.7608 · arxiv_version: 1304.7608v3 · doi: 10.48550/arxiv.1304.7608 · pith_short_12: 6BRWXLGRWYKB · pith_short_16: 6BRWXLGRWYKBSX65 · pith_short_8: 6BRWXLGR

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/6BRWXLGRWYKBSX65G7CLLAOOBU \
  | 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: f0636bacd1b614195fdd37c4b581ce0d30d43b4efac71df73d75f25d491024db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b72c30671bf997fada779156f243af350d63020aa9b10a0eeb7ad1bd27b757ce",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-29T10:05:25Z",
    "title_canon_sha256": "81cb8aea09ed51543ae79c5f3852def4b65fd2acdfd920bde60d7091dcd6d181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7608",
    "kind": "arxiv",
    "version": 3
  }
}