Pith Number

pith:HVA24I2W

pith:2013:HVA24I2WZONS5XRG4FH2TWHKON

not attested not anchored not stored refs pending

Smoothing of commutators for a H\"ormander class of bilinear pseudodifferential operators

\'Arp\'ad B\'enyi, Tadahiro Oh

arxiv:1305.4307 v1 · 2013-05-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVA24I2WZONS5XRG4FH2TWHKON}

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	2026-05-18T03:25:24.168294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d41ae2356cb9b2ede26e14fa9d8ea7351ea731ebd1b8f3256649857857c2fe0

Aliases

arxiv: 1305.4307 · arxiv_version: 1305.4307v1 · doi: 10.48550/arxiv.1305.4307 · pith_short_12: HVA24I2WZONS · pith_short_16: HVA24I2WZONS5XRG · pith_short_8: HVA24I2W

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/HVA24I2WZONS5XRG4FH2TWHKON \
  | 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: 3d41ae2356cb9b2ede26e14fa9d8ea7351ea731ebd1b8f3256649857857c2fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d529bcd00c5413567af9bbba6706d0a078df349ffa78040edad3fdcefe0e6fcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-18T23:26:39Z",
    "title_canon_sha256": "9625604df1d50099cda10d894d428a0f34fa152e16a60958502d5ec491986036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4307",
    "kind": "arxiv",
    "version": 1
  }
}