Pith Number

pith:PT7RGZAM

pith:2012:PT7RGZAM2K5TA6QHSPHPMO6XAZ

not attested not anchored not stored refs pending

Explicit fundamental solutions of some second order differential operators on Heisenberg groups

Isolda Cardoso, Linda Saal

arxiv:1205.5489 v1 · 2012-05-24 · 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{PT7RGZAM2K5TA6QHSPHPMO6XAZ}

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	2026-05-18T03:55:00.956339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cff13640cd2bb307a0793cef63bd7065794a6c909b36140a31fd70b6a5dfccc

Aliases

arxiv: 1205.5489 · arxiv_version: 1205.5489v1 · doi: 10.48550/arxiv.1205.5489 · pith_short_12: PT7RGZAM2K5T · pith_short_16: PT7RGZAM2K5TA6QH · pith_short_8: PT7RGZAM

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/PT7RGZAM2K5TA6QHSPHPMO6XAZ \
  | 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: 7cff13640cd2bb307a0793cef63bd7065794a6c909b36140a31fd70b6a5dfccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6674b81849556834aaf8a600f34304de39d96cba7668ef638632415481ed4d9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-05-24T15:46:05Z",
    "title_canon_sha256": "b2f90f4ca9cc5a162227c2feafa396cd1bc7ab35562ea37fbb89b9b02940eb2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5489",
    "kind": "arxiv",
    "version": 1
  }
}