Pith Number

pith:EYLTHNU4

pith:2016:EYLTHNU4Q3ZTF3F6GLAHN5AY5T

not attested not anchored not stored refs pending

Parabolic nilradicals of Heisenberg type

Aroldo Kaplan, Mauro Subils

arxiv:1608.02663 v3 · 2016-08-09 · 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{EYLTHNU4Q3ZTF3F6GLAHN5AY5T}

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	2026-05-18T01:09:06.026785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

261733b69c86f332ecbe32c076f418eceaa52077327f3a796eefeebe7b87df94

Aliases

arxiv: 1608.02663 · arxiv_version: 1608.02663v3 · doi: 10.48550/arxiv.1608.02663 · pith_short_12: EYLTHNU4Q3ZT · pith_short_16: EYLTHNU4Q3ZTF3F6 · pith_short_8: EYLTHNU4

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/EYLTHNU4Q3ZTF3F6GLAHN5AY5T \
  | 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: 261733b69c86f332ecbe32c076f418eceaa52077327f3a796eefeebe7b87df94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d26bfea1b3bc9a1e6c7f8f9cb792a91d637807e848d427a9d64777d84ddfd6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-09T00:06:22Z",
    "title_canon_sha256": "0f55ddcc0c8e9072b41176e1c2c3b56f01037d2c4ed50c79de0447191bdabcee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02663",
    "kind": "arxiv",
    "version": 3
  }
}