Pith Number

pith:TQW6UPHQ

pith:2017:TQW6UPHQB2EU5OT7S6AAJLI26A

not attested not anchored not stored refs pending

Porosity and Differentiability of Lipschitz Maps from Stratified Groups to Banach Homogeneous Groups

Andrea Pinamonti, Gareth Speight, Valentino Magnani

arxiv:1706.01782 v2 · 2017-06-06 · 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{TQW6UPHQB2EU5OT7S6AAJLI26A}

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	2026-05-18T00:02:02.156946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2dea3cf00e894eba7f978004ad1af02aed8405f333b6cf6d697f87d391c618

Aliases

arxiv: 1706.01782 · arxiv_version: 1706.01782v2 · doi: 10.48550/arxiv.1706.01782 · pith_short_12: TQW6UPHQB2EU · pith_short_16: TQW6UPHQB2EU5OT7 · pith_short_8: TQW6UPHQ

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/TQW6UPHQB2EU5OT7S6AAJLI26A \
  | 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: 9c2dea3cf00e894eba7f978004ad1af02aed8405f333b6cf6d697f87d391c618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a0e086857d09cb18490d813ffa233d640fe3a77cf5e82ad34346326a86985a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-06T14:16:44Z",
    "title_canon_sha256": "bb34549da4e62eb8837724d75c6064b963c4446637749379f8705d5fd150307f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01782",
    "kind": "arxiv",
    "version": 2
  }
}