Pith Number

pith:4VJUYTS2

pith:2021:4VJUYTS2EWZMQPVI7XHM4LQDMU

not attested not anchored not stored refs pending

Non-diffusive Variational Problems with Distributional and Weak Gradient Constraints

Carlos N. Rautenberg, Deepanshu Verma, Harbir Antil, Rafael Arndt

arxiv:2106.12680 v1 · 2021-06-23 · math.OC · cs.NA · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VJUYTS2EWZMQPVI7XHM4LQDMU}

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	2026-07-05T02:52:04.916762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5534c4e5a25b2c83ea8fdcece2e03650ea0b5c2bf5fa7c1259f2701382d0810

Aliases

arxiv: 2106.12680 · arxiv_version: 2106.12680v1 · doi: 10.48550/arxiv.2106.12680 · pith_short_12: 4VJUYTS2EWZM · pith_short_16: 4VJUYTS2EWZMQPVI · pith_short_8: 4VJUYTS2

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/4VJUYTS2EWZMQPVI7XHM4LQDMU \
  | 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: e5534c4e5a25b2c83ea8fdcece2e03650ea0b5c2bf5fa7c1259f2701382d0810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e71afa87c3cf63bc0cea26e5a12e054d4ff8a8af8d55ddf1fe57190fed672130",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-23T23:01:42Z",
    "title_canon_sha256": "0bd8c6f1646ace8dec7b1745a41da490150ae7685838a518badec0ee0ecbcdcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.12680",
    "kind": "arxiv",
    "version": 1
  }
}