Pith Number

pith:NC2WNC4Z

pith:2015:NC2WNC4ZMIK6737PNSF6DLWDWJ

not attested not anchored not stored refs pending

Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary

Andrea Sambusetti, Enrico Le Donne, Sebastiano Nicolussi Golo

arxiv:1509.00288 v1 · 2015-09-01 · math.DG · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NC2WNC4ZMIK6737PNSF6DLWDWJ}

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	2026-05-17T23:39:42.411425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b5668b996215efefef6c8be1aec3b258d2181f6ca3a2cdd178bfcc37386bd7

Aliases

arxiv: 1509.00288 · arxiv_version: 1509.00288v1 · doi: 10.48550/arxiv.1509.00288 · pith_short_12: NC2WNC4ZMIK6 · pith_short_16: NC2WNC4ZMIK6737P · pith_short_8: NC2WNC4Z

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/NC2WNC4ZMIK6737PNSF6DLWDWJ \
  | 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: 68b5668b996215efefef6c8be1aec3b258d2181f6ca3a2cdd178bfcc37386bd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3cd9893e44075d1a3f12a6be0c3784bbd805f4f4de38a8d56559495fe2febb",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-01T13:40:37Z",
    "title_canon_sha256": "8d67d236197cb49763d6b962e418162071325fe0a2c4b1aeb1cc39573bc17108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00288",
    "kind": "arxiv",
    "version": 1
  }
}