Pith Number

pith:4IWV44MP

pith:2017:4IWV44MP6PUDL5NQQUOWTOFXPX

not attested not anchored not stored refs pending

A multi-material transport problem and its convex relaxation via rectifiable $G$-currents

Andrea Marchese, Annalisa Massaccesi, Riccardo Tione

arxiv:1712.08942 v2 · 2017-12-24 · math.AP · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IWV44MP6PUDL5NQQUOWTOFXPX}

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	2026-05-17T23:51:56.054786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22d5e718ff3e835f5b0851d69b8b77de9ddf82b74f9949da053badfdf440224

Aliases

arxiv: 1712.08942 · arxiv_version: 1712.08942v2 · doi: 10.48550/arxiv.1712.08942 · pith_short_12: 4IWV44MP6PUD · pith_short_16: 4IWV44MP6PUDL5NQ · pith_short_8: 4IWV44MP

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/4IWV44MP6PUDL5NQQUOWTOFXPX \
  | 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: e22d5e718ff3e835f5b0851d69b8b77de9ddf82b74f9949da053badfdf440224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ea3e22e7290e12a4cd2373c1b9f2fc8bf38d14269508a87c361dfd7830ac545",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-24T16:18:22Z",
    "title_canon_sha256": "43a6b574ffa9914a3f039eaf50a1492ffb72337a03714892d52ce3dbacf4bf1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08942",
    "kind": "arxiv",
    "version": 2
  }
}