Pith Number

pith:AFCCA4PT

pith:2017:AFCCA4PTRZ3YTCIG3FURIVTNME

not attested not anchored not stored refs pending

Lipschitz and bi-Lipschitz maps from PI spaces to Carnot groups

Guy C. David, Kyle Kinneberg

arxiv:1711.03533 v1 · 2017-11-09 · math.MG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFCCA4PTRZ3YTCIG3FURIVTNME}

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	2026-05-18T00:30:55.817460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01442071f38e77898906d96914566d611ef2d0c23a22a0d984e383ddb841ed33

Aliases

arxiv: 1711.03533 · arxiv_version: 1711.03533v1 · doi: 10.48550/arxiv.1711.03533 · pith_short_12: AFCCA4PTRZ3Y · pith_short_16: AFCCA4PTRZ3YTCIG · pith_short_8: AFCCA4PT

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/AFCCA4PTRZ3YTCIG3FURIVTNME \
  | 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: 01442071f38e77898906d96914566d611ef2d0c23a22a0d984e383ddb841ed33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebd97910023c8e31c969838b6f85676f2384a05e91a28307c2d96460482e06ad",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-11-09T18:59:19Z",
    "title_canon_sha256": "0e3e6d695fec5abbea1f20aa87391ec8ccc0a8ac58ff84008b59a316b80cbff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03533",
    "kind": "arxiv",
    "version": 1
  }
}