Pith Number

pith:CXLM4PN7

pith:2014:CXLM4PN7MG42LX2PH5FDBKEPPU

not attested not anchored not stored refs pending

Global contact and quasiconformal mappings of Carnot groups

Alessandro Ottazzi, Michael G. Cowling

arxiv:1408.1778 v1 · 2014-08-08 · 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{CXLM4PN7MG42LX2PH5FDBKEPPU}

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	2026-05-18T02:45:39.041932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d6ce3dbf61b9a5df4f3f4a30a88f7d1acbaf8a32638c4036a380af0c9a43e5

Aliases

arxiv: 1408.1778 · arxiv_version: 1408.1778v1 · doi: 10.48550/arxiv.1408.1778 · pith_short_12: CXLM4PN7MG42 · pith_short_16: CXLM4PN7MG42LX2P · pith_short_8: CXLM4PN7

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/CXLM4PN7MG42LX2PH5FDBKEPPU \
  | 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: 15d6ce3dbf61b9a5df4f3f4a30a88f7d1acbaf8a32638c4036a380af0c9a43e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7769dabfd76faead2ab7589e86bd22b03739b99e6a016871d326eb768a411d60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-08-08T08:04:43Z",
    "title_canon_sha256": "1eba293efd8543b84102a871196019b9673c98fb6306d8b1c21779706f7e77a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1778",
    "kind": "arxiv",
    "version": 1
  }
}