Pith Number

pith:5VQMBKJK

pith:2017:5VQMBKJKGTOGQ4HYJPYGRYY23E

not attested not anchored not stored refs pending

Left Translates of a Square Integrable Function on the Heisenberg group

R. Radha, Saswata Adhikari

arxiv:1712.00281 v1 · 2017-12-01 · 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{5VQMBKJKGTOGQ4HYJPYGRYY23E}

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	2026-05-18T00:29:06.658881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed60c0a92a34dc6870f84bf068e31ad93e23cabf987386512c3594e71eaf1c21

Aliases

arxiv: 1712.00281 · arxiv_version: 1712.00281v1 · doi: 10.48550/arxiv.1712.00281 · pith_short_12: 5VQMBKJKGTOG · pith_short_16: 5VQMBKJKGTOGQ4HY · pith_short_8: 5VQMBKJK

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/5VQMBKJKGTOGQ4HYJPYGRYY23E \
  | 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: ed60c0a92a34dc6870f84bf068e31ad93e23cabf987386512c3594e71eaf1c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f8d4676bbb45562e51e3e16adb2c7c2dfcbc32413e00a770216bdff95eac01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-01T11:33:21Z",
    "title_canon_sha256": "df025df948be1ab5f35164789502a50b525c4653455ee75c6dde0b87d7303676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00281",
    "kind": "arxiv",
    "version": 1
  }
}