Pith Number

pith:VOPNC35G

pith:2014:VOPNC35G6YFQ4IRZVEW5MBX7HB

not attested not anchored not stored refs pending

A pseudo-differential calculus on the Heisenberg group

Michael Ruzhansky, Veronique Fischer

arxiv:1402.6615 v1 · 2014-02-26 · math.FA · math.AP · 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{VOPNC35G6YFQ4IRZVEW5MBX7HB}

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	2026-05-18T02:57:44.009016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9ed16fa6f60b0e2239a92dd606ff38722b24b701e8b98bb8dde3bb09ac2176

Aliases

arxiv: 1402.6615 · arxiv_version: 1402.6615v1 · doi: 10.48550/arxiv.1402.6615 · pith_short_12: VOPNC35G6YFQ · pith_short_16: VOPNC35G6YFQ4IRZ · pith_short_8: VOPNC35G

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/VOPNC35G6YFQ4IRZVEW5MBX7HB \
  | 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: ab9ed16fa6f60b0e2239a92dd606ff38722b24b701e8b98bb8dde3bb09ac2176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63610653f0ece84b001a56243e22691fcb0d52b30c3ae42f9f807ac9ee4a4594",
    "cross_cats_sorted": [
      "math.AP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-26T17:16:58Z",
    "title_canon_sha256": "4cc77827e9041268ac02d7bbb6f6016c2c1c4c4e2c5f24c79c430ff1d184272a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6615",
    "kind": "arxiv",
    "version": 1
  }
}