Pith Number

pith:JELNI4SO

pith:2013:JELNI4SOE2R7CGGWVNVDMSTXLI

not attested not anchored not stored refs pending

1-Quasiconformal maps on Carnot groups with reducible first layer

Xiangdong Xie

arxiv:1312.7487 v2 · 2013-12-29 · math.CV · math.DG · 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{JELNI4SOE2R7CGGWVNVDMSTXLI}

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	2026-05-18T02:42:06.036886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4916d4724e26a3f118d6ab6a364a775a02c1601d7a7d26fd4a65d996eb6f242a

Aliases

arxiv: 1312.7487 · arxiv_version: 1312.7487v2 · doi: 10.48550/arxiv.1312.7487 · pith_short_12: JELNI4SOE2R7 · pith_short_16: JELNI4SOE2R7CGGW · pith_short_8: JELNI4SO

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/JELNI4SOE2R7CGGWVNVDMSTXLI \
  | 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: 4916d4724e26a3f118d6ab6a364a775a02c1601d7a7d26fd4a65d996eb6f242a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca377f7405d8b04e39e55687e5838c3c47c3f1950ff7e3c82ea587edd3bb0a9",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-12-29T01:37:05Z",
    "title_canon_sha256": "469ca6260c378857fe5e29d74bf4d60d573e20a4f91bc206c545a7f18c2a5478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7487",
    "kind": "arxiv",
    "version": 2
  }
}