Pith Number

pith:AI7PVIFN

pith:2016:AI7PVIFNJKCUEDB3JCWPIBAG2M

not attested not anchored not stored refs pending

On Lipschitz vector fields and the Cauchy problem in homogeneous groups

Dario Trevisan, Valentino Magnani

arxiv:1606.05486 v1 · 2016-06-17 · 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{AI7PVIFNJKCUEDB3JCWPIBAG2M}

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	2026-05-18T00:41:12.977708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023efaa0ad4a85420c3b48acf40406d32cf16903208a82489d054b08e2faa09a

Aliases

arxiv: 1606.05486 · arxiv_version: 1606.05486v1 · doi: 10.48550/arxiv.1606.05486 · pith_short_12: AI7PVIFNJKCU · pith_short_16: AI7PVIFNJKCUEDB3 · pith_short_8: AI7PVIFN

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/AI7PVIFNJKCUEDB3JCWPIBAG2M \
  | 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: 023efaa0ad4a85420c3b48acf40406d32cf16903208a82489d054b08e2faa09a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b03547b1e1fd1960904ce83e0aa6d1eb19feed541d7c3bc55a7c040ba7d20d10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-17T11:44:39Z",
    "title_canon_sha256": "d5f8c4a1e5f0551318b958033df5cf528d92b027019763f319e498d5c02495be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05486",
    "kind": "arxiv",
    "version": 1
  }
}