Pith Number

pith:SM6N3E23

pith:2018:SM6N3E23HFZNY6S47XW6MLYH7Q

not attested not anchored not stored refs pending

G\^ateaux differentiability on infinite-dimensional Carnot groups

Enrico Le Donne, Sean Li, Terhi Moisala

arxiv:1812.07375 v1 · 2018-12-18 · math.FA · 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{SM6N3E23HFZNY6S47XW6MLYH7Q}

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	2026-05-17T23:58:00.701244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

933cdd935b3972dc7a5cfdede62f07fc25560bcf6786917057509f5810f77cd4

Aliases

arxiv: 1812.07375 · arxiv_version: 1812.07375v1 · doi: 10.48550/arxiv.1812.07375 · pith_short_12: SM6N3E23HFZN · pith_short_16: SM6N3E23HFZNY6S4 · pith_short_8: SM6N3E23

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/SM6N3E23HFZNY6S47XW6MLYH7Q \
  | 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: 933cdd935b3972dc7a5cfdede62f07fc25560bcf6786917057509f5810f77cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5506366da36d77a4a9493be613d4f95528a88522be79d01075463c24618529b4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-18T14:15:32Z",
    "title_canon_sha256": "06075c184c4964f74f3396f56a94399e500beb4c20c12a4e6e79c86a11de017b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07375",
    "kind": "arxiv",
    "version": 1
  }
}