Pith Number

pith:XKH3N6QF

pith:2012:XKH3N6QFJ54H5JJL7QRGVJPJBE

not attested not anchored not stored refs pending

A general theorem of existence of quasi absolutely minimal Lipschitz extensions

Erwan Le Gruyer, Matthew J. Hirn

arxiv:1211.5700 v3 · 2012-11-24 · math.FA · math.AP · 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{XKH3N6QFJ54H5JJL7QRGVJPJBE}

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	2026-05-18T02:47:16.262121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8fb6fa054f787ea52bfc226aa5e9090fefb50954f544a6a219e618d56a9906

Aliases

arxiv: 1211.5700 · arxiv_version: 1211.5700v3 · doi: 10.48550/arxiv.1211.5700 · pith_short_12: XKH3N6QFJ54H · pith_short_16: XKH3N6QFJ54H5JJL · pith_short_8: XKH3N6QF

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/XKH3N6QFJ54H5JJL7QRGVJPJBE \
  | 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: ba8fb6fa054f787ea52bfc226aa5e9090fefb50954f544a6a219e618d56a9906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335d93c9417770816b91b92e9e2edd112128f1d9020245fb4adc7fffbc01163e",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-24T19:31:52Z",
    "title_canon_sha256": "97cf2e2c63c824eafa8ca0e48c459cd963001915fb6af4d95fd6431d148fe57c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5700",
    "kind": "arxiv",
    "version": 3
  }
}