Pith Number

pith:RPHEH7X5

pith:2015:RPHEH7X5OV5Y7T6IFFHKZKLCTD

not attested not anchored not stored refs pending

Pseudo-differential operators in a Gelfand-Shilov setting

Joachim Toft, Marco Cappiello

arxiv:1505.04096 v2 · 2015-05-15 · 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{RPHEH7X5OV5Y7T6IFFHKZKLCTD}

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	2026-05-18T01:22:18.682800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bce43fefd757b8fcfc8294eaca96298cbf34df5929e99ec781f8614abf05b7e

Aliases

arxiv: 1505.04096 · arxiv_version: 1505.04096v2 · doi: 10.48550/arxiv.1505.04096 · pith_short_12: RPHEH7X5OV5Y · pith_short_16: RPHEH7X5OV5Y7T6I · pith_short_8: RPHEH7X5

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/RPHEH7X5OV5Y7T6IFFHKZKLCTD \
  | 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: 8bce43fefd757b8fcfc8294eaca96298cbf34df5929e99ec781f8614abf05b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "988133a66429b5f777a50d6f2687c2b1f9361fb876715acddeca24cc941380df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-15T15:36:48Z",
    "title_canon_sha256": "a189af8b41db0bbd7ed0a5aa35e4aa2571b04bc8c1951286e035033a72787f9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04096",
    "kind": "arxiv",
    "version": 2
  }
}