Pith Number

pith:24GYSV54

pith:2017:24GYSV54R5QI3RPTKXSWGS6T4C

not attested not anchored not stored refs pending

Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step

Andrea Pinamonti, Gareth Speight

arxiv:1711.11433 v2 · 2017-11-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24GYSV54R5QI3RPTKXSWGS6T4C}

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	2026-05-17T23:46:55.560074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70d8957bc8f608dc5f355e5634bd3e08634fbecf66d7d47ff926ec14c018176

Aliases

arxiv: 1711.11433 · arxiv_version: 1711.11433v2 · doi: 10.48550/arxiv.1711.11433 · pith_short_12: 24GYSV54R5QI · pith_short_16: 24GYSV54R5QI3RPT · pith_short_8: 24GYSV54

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/24GYSV54R5QI3RPTKXSWGS6T4C \
  | 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: d70d8957bc8f608dc5f355e5634bd3e08634fbecf66d7d47ff926ec14c018176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0af5b1a910200547ffaae6bfdb9f77c220418bb1c754f507000530da2b1815",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-28T20:17:55Z",
    "title_canon_sha256": "928c5870b8cf7cefc40937546d4c73b85b6865537005625f8b85e722dc105f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11433",
    "kind": "arxiv",
    "version": 2
  }
}