Pith Number

pith:S2W3P6FQ

pith:2024:S2W3P6FQKHTMBNFOPNSAZ5IBT7

not attested not anchored not stored refs pending

Lipschitz maps with prescribed local Lipschitz constants

Aidan Backus, Ng Ze-An

arxiv:2403.07702 v1 · 2024-03-12 · math.DG · 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{S2W3P6FQKHTMBNFOPNSAZ5IBT7}

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	2026-07-05T07:55:06.951947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96adb7f8b051e6c0b4ae7b640cf5019fdcb7ff732ac15d9dc4d92069e2bf0890

Aliases

arxiv: 2403.07702 · arxiv_version: 2403.07702v1 · doi: 10.48550/arxiv.2403.07702 · pith_short_12: S2W3P6FQKHTM · pith_short_16: S2W3P6FQKHTMBNFO · pith_short_8: S2W3P6FQ

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/S2W3P6FQKHTMBNFOPNSAZ5IBT7 \
  | 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: 96adb7f8b051e6c0b4ae7b640cf5019fdcb7ff732ac15d9dc4d92069e2bf0890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d98477d2f6da3ff273617cee94580653f39cbab7d9fa1e92acc61cbdf7d2a21b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-03-12T14:48:45Z",
    "title_canon_sha256": "98d3ab4670b9c3a703e848782a75076056bc8e17183636a5017e579a07a52daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.07702",
    "kind": "arxiv",
    "version": 1
  }
}