Pith Number

pith:6UWYYPEU

pith:2017:6UWYYPEU5EOGTUYKSDI5DRYN52

not attested not anchored not stored refs pending

The Gabor wave front set in spaces of ultradifferentiable functions

Alessandro Oliaro, Chiara Boiti, David Jornet

arxiv:1706.08413 v1 · 2017-06-26 · 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{6UWYYPEU5EOGTUYKSDI5DRYN52}

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	2026-05-18T00:41:42.664935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f52d8c3c94e91c69d30a90d1d1c70deeba77f1da7eb77a37ccf9a3ed60324e42

Aliases

arxiv: 1706.08413 · arxiv_version: 1706.08413v1 · doi: 10.48550/arxiv.1706.08413 · pith_short_12: 6UWYYPEU5EOG · pith_short_16: 6UWYYPEU5EOGTUYK · pith_short_8: 6UWYYPEU

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/6UWYYPEU5EOGTUYKSDI5DRYN52 \
  | 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: f52d8c3c94e91c69d30a90d1d1c70deeba77f1da7eb77a37ccf9a3ed60324e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8708856c6e46344a8bf13e582912b7662330c558e2730a2e54c129498d4667e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-26T14:42:10Z",
    "title_canon_sha256": "153a297fc983464584b244b82ecdb8241470ddedb17d601b6ea20121552d60cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08413",
    "kind": "arxiv",
    "version": 1
  }
}