Pith Number

pith:SYXP4TSX

pith:2018:SYXP4TSX6NSO6PFZIT5N6ONWEL

not attested not anchored not stored refs pending

Wave equations on graded groups and hypoelliptic Gevrey spaces

Chiara Alba Taranto

arxiv:1804.03544 v2 · 2018-04-09 · math.AP · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYXP4TSX6NSO6PFZIT5N6ONWEL}

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.

Cited by

1 paper in Pith

Decay estimates for the linear damped wave equation on the Heisenberg group

Receipt and verification

First computed	2026-05-18T00:15:02.752863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

962efe4e57f364ef3cb944fadf39b622ca4767ed2a54e2412b2979b0611404f6

Aliases

arxiv: 1804.03544 · arxiv_version: 1804.03544v2 · doi: 10.48550/arxiv.1804.03544 · pith_short_12: SYXP4TSX6NSO · pith_short_16: SYXP4TSX6NSO6PFZ · pith_short_8: SYXP4TSX

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/SYXP4TSX6NSO6PFZIT5N6ONWEL \
  | 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: 962efe4e57f364ef3cb944fadf39b622ca4767ed2a54e2412b2979b0611404f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6048f1fd8edb8dd608e0134057dcb0c7a4510fb5673c7afc9cd840bde302445d",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-09T11:41:04Z",
    "title_canon_sha256": "b82829d4d4055d929611755c02407a64d663c2a959b28b296008e2717a42d695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03544",
    "kind": "arxiv",
    "version": 2
  }
}