Pith Number

pith:TTWGF4VJ

pith:2015:TTWGF4VJESZ6GK4RKWB45GJAQI

not attested not anchored not stored refs pending

Harmonic Analysis Techniques in Several Complex Variables

Loredana Lanzani

arxiv:1509.08786 v1 · 2015-09-29 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTWGF4VJESZ6GK4RKWB45GJAQI}

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	2026-05-18T01:31:47.108999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cec62f2a924b3e32b915583ce992082078f3d6fbf2ed267b83556b9c9315186

Aliases

arxiv: 1509.08786 · arxiv_version: 1509.08786v1 · doi: 10.48550/arxiv.1509.08786 · pith_short_12: TTWGF4VJESZ6 · pith_short_16: TTWGF4VJESZ6GK4R · pith_short_8: TTWGF4VJ

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/TTWGF4VJESZ6GK4RKWB45GJAQI \
  | 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: 9cec62f2a924b3e32b915583ce992082078f3d6fbf2ed267b83556b9c9315186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d8314f0fc402c4072a3f3c3fad93e4f976ceae7746ed009bfb3d7471aaf3412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-29T14:54:20Z",
    "title_canon_sha256": "1744d09930b6c8a28d2918cef25545641d93f291972a5823af92ef0a403a57a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08786",
    "kind": "arxiv",
    "version": 1
  }
}