Pith Number

pith:ARKUW7PP

pith:2016:ARKUW7PPBQVI3IHGAWIFU45VMD

not attested not anchored not stored refs pending

Sobolev extensions of Lipschitz mappings into metric spaces

Scott Zimmerman

arxiv:1608.00857 v4 · 2016-08-02 · 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{ARKUW7PPBQVI3IHGAWIFU45VMD}

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	2026-05-18T00:38:46.572933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04554b7def0c2a8da0e605905a73b560e120f50245750328c09f7846caa261ef

Aliases

arxiv: 1608.00857 · arxiv_version: 1608.00857v4 · doi: 10.48550/arxiv.1608.00857 · pith_short_12: ARKUW7PPBQVI · pith_short_16: ARKUW7PPBQVI3IHG · pith_short_8: ARKUW7PP

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/ARKUW7PPBQVI3IHGAWIFU45VMD \
  | 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: 04554b7def0c2a8da0e605905a73b560e120f50245750328c09f7846caa261ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f60dc502f55034547777ad1fd2307d1175b43e293c498d13797af68d5db22a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-08-02T15:02:03Z",
    "title_canon_sha256": "99b5ae2b1e127814facaf597b345bddb254e97ae7db6934b806dc5c98bce4102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00857",
    "kind": "arxiv",
    "version": 4
  }
}