Pith Number

pith:VB5HJG6X

pith:2018:VB5HJG6XOZLL32MMUEY5J7NPTC

not attested not anchored not stored refs pending

$L^p$ bounds for boundary-to-boundary transport densities, and $W^{1,p}$ bounds for the BV least gradient problem in 2D

Filippo Santambrogio (LMO), Samer Dweik (LM-Orsay)

arxiv:1805.00769 v1 · 2018-05-02 · math.OC · 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{VB5HJG6XOZLL32MMUEY5J7NPTC}

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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	2026-05-18T00:16:57.785980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a87a749bd77656bde98ca131d4fdaf9882b8c488476c253080191e5c0ad2a961

Aliases

arxiv: 1805.00769 · arxiv_version: 1805.00769v1 · doi: 10.48550/arxiv.1805.00769 · pith_short_12: VB5HJG6XOZLL · pith_short_16: VB5HJG6XOZLL32MM · pith_short_8: VB5HJG6X

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/VB5HJG6XOZLL32MMUEY5J7NPTC \
  | 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: a87a749bd77656bde98ca131d4fdaf9882b8c488476c253080191e5c0ad2a961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "767870fa23777886487042fabd9bc01380af7c4ead86a0b719c425ab86f1bd3c",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-02T12:35:45Z",
    "title_canon_sha256": "b1bc355adc0ac87801e8e9334ce9146a18614922688d2c4a2fc125ec8bd96d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00769",
    "kind": "arxiv",
    "version": 1
  }
}