Pith Number

pith:ULGD6UGP

pith:2012:ULGD6UGP6UOTY32VGMSGZ5GAZX

not attested not anchored not stored refs pending

The Real and Complex Techniques in Harmonic Analysis from the Point of View of Covariant Transform

Vladimir V. Kisil

arxiv:1209.5072 v4 · 2012-09-23 · math.FA · math.CV · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULGD6UGP6UOTY32VGMSGZ5GAZX}

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	2026-05-18T02:48:43.722720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2cc3f50cff51d3c6f5533246cf4c0cdcf76c6da5be9118fa701bb0835290405

Aliases

arxiv: 1209.5072 · arxiv_version: 1209.5072v4 · doi: 10.48550/arxiv.1209.5072 · pith_short_12: ULGD6UGP6UOT · pith_short_16: ULGD6UGP6UOTY32V · pith_short_8: ULGD6UGP

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/ULGD6UGP6UOTY32VGMSGZ5GAZX \
  | 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: a2cc3f50cff51d3c6f5533246cf4c0cdcf76c6da5be9118fa701bb0835290405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6f5718ecbeccf346e06da5a693f3a272b921db6024a7dd7ddcb68fd7832973",
    "cross_cats_sorted": [
      "math.CV",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-23T15:09:48Z",
    "title_canon_sha256": "d2ae280e124cd812727db8950b234c9d38f97b39b01ad992832941e3543361f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5072",
    "kind": "arxiv",
    "version": 4
  }
}