Pith Number

pith:R25EMJHF

pith:2015:R25EMJHF226KMMU7MEJF23FOH3

not attested not anchored not stored refs pending

Characterization of Non-Smooth Pseudodifferential Operators

Christine Pfeuffer, Helmut Abels

arxiv:1512.01127 v1 · 2015-11-29 · 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{R25EMJHF226KMMU7MEJF23FOH3}

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	2026-05-18T01:25:18.881202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eba4624e5d6bca6329f61125d6cae3eec61147d00ba0325477edb88d7da74a5

Aliases

arxiv: 1512.01127 · arxiv_version: 1512.01127v1 · doi: 10.48550/arxiv.1512.01127 · pith_short_12: R25EMJHF226K · pith_short_16: R25EMJHF226KMMU7 · pith_short_8: R25EMJHF

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/R25EMJHF226KMMU7MEJF23FOH3 \
  | 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: 8eba4624e5d6bca6329f61125d6cae3eec61147d00ba0325477edb88d7da74a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8874b7d620ffe25b4a61b748235719257d80beec6b68a594387c217b51d0c3c5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-29T22:54:32Z",
    "title_canon_sha256": "b1ba368c413f5344f9648e2825f76c198de996773636a479e3146a2199e57d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01127",
    "kind": "arxiv",
    "version": 1
  }
}