Pith Number

pith:GLJCIAVU

pith:2017:GLJCIAVUZNV3XZGZKSLZCHZEWL

not attested not anchored not stored refs pending

Parabolic nilradicals of Heisenberg type, II

Aroldo Kaplan, Mauro Subils

arxiv:1708.08981 v1 · 2017-08-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLJCIAVUZNV3XZGZKSLZCHZEWL}

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	2026-05-18T00:36:21.506888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d22402b4cb6bbbe4d95497911f24b2d9f1ae12b3d12a42eb3262303a01cc30

Aliases

arxiv: 1708.08981 · arxiv_version: 1708.08981v1 · doi: 10.48550/arxiv.1708.08981 · pith_short_12: GLJCIAVUZNV3 · pith_short_16: GLJCIAVUZNV3XZGZ · pith_short_8: GLJCIAVU

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/GLJCIAVUZNV3XZGZKSLZCHZEWL \
  | 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: 32d22402b4cb6bbbe4d95497911f24b2d9f1ae12b3d12a42eb3262303a01cc30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd096d360cbba13d0b94c4c752a677446cbf453b1edb8e8b1068daf1f1546d15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-29T19:35:37Z",
    "title_canon_sha256": "fd1af8185d3322ce635ccd1685cfa97fb8ca77f53d715234c0b8bd61a0eb2a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08981",
    "kind": "arxiv",
    "version": 1
  }
}