Pith Number

pith:VKSLOF5D

pith:2015:VKSLOF5DPCSY27GIWDJFZOM23L

not attested not anchored not stored refs pending

Helffer-Sj{\"o}strand formula for Unitary Operators

Aiman Mbarek (AGM)

arxiv:1506.04537 v1 · 2015-06-15 · math.FA · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKSLOF5DPCSY27GIWDJFZOM23L}

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	2026-05-18T01:49:30.938828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa4b717a378a58d7cc8b0d25cb99adac71f8d5fa2f295baca54a7cd699e9ff1

Aliases

arxiv: 1506.04537 · arxiv_version: 1506.04537v1 · doi: 10.48550/arxiv.1506.04537 · pith_short_12: VKSLOF5DPCSY · pith_short_16: VKSLOF5DPCSY27GI · pith_short_8: VKSLOF5D

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/VKSLOF5DPCSY27GIWDJFZOM23L \
  | 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: aaa4b717a378a58d7cc8b0d25cb99adac71f8d5fa2f295baca54a7cd699e9ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfe3abff2eb50ebbec6cd5bfc2151534a0de0a4b3c6d30242ac3622559d3245",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-15T09:57:59Z",
    "title_canon_sha256": "d740c7ee767235b5b4e7f5ad04f36c90b8657af42336f4f8080725abd5189cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04537",
    "kind": "arxiv",
    "version": 1
  }
}