Pith Number

pith:6GMAJOYK

pith:2013:6GMAJOYK5PYK5FI5Z35M65WOW5

not attested not anchored not stored refs pending

Conformal maps of Carnot groups

Alessandro Ottazzi, Michael G. Cowling

arxiv:1312.6423 v1 · 2013-12-22 · 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{6GMAJOYK5PYK5FI5Z35M65WOW5}

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	2026-05-18T03:03:58.334457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19804bb0aebf0ae951dcefacf76ceb769d81dd3639d368ecbb347466ccc4393

Aliases

arxiv: 1312.6423 · arxiv_version: 1312.6423v1 · doi: 10.48550/arxiv.1312.6423 · pith_short_12: 6GMAJOYK5PYK · pith_short_16: 6GMAJOYK5PYK5FI5 · pith_short_8: 6GMAJOYK

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/6GMAJOYK5PYK5FI5Z35M65WOW5 \
  | 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: f19804bb0aebf0ae951dcefacf76ceb769d81dd3639d368ecbb347466ccc4393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f2f74ff83198196b18897f89830eddba87dcdae7cae6cb3f4531bf93b841f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-22T20:32:34Z",
    "title_canon_sha256": "d84685d3f859cda8c91e80142fc65f7b992ee92c9f90ac0c7377c01ac781931a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6423",
    "kind": "arxiv",
    "version": 1
  }
}