Pith Number

pith:P3Z7HQP5

pith:2018:P3Z7HQP5VVDZ5I734HAKIY4Q5V

not attested not anchored not stored refs pending

Existence and Regularity of Optimal Shapes for Elliptic Operators with Drift

Baptiste Trey (CVGI, Bozhidar Velichkov (CVGI), Emmanuel Russ (IF), If)

arxiv:1810.07943 v2 · 2018-10-18 · 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{P3Z7HQP5VVDZ5I734HAKIY4Q5V}

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	2026-05-17T23:46:03.915808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef3f3c1fdad479ea3fbe1c0a46390ed78d433d26e5ed087e307792b05ff4c0c

Aliases

arxiv: 1810.07943 · arxiv_version: 1810.07943v2 · doi: 10.48550/arxiv.1810.07943 · pith_short_12: P3Z7HQP5VVDZ · pith_short_16: P3Z7HQP5VVDZ5I73 · pith_short_8: P3Z7HQP5

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/P3Z7HQP5VVDZ5I734HAKIY4Q5V \
  | 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: 7ef3f3c1fdad479ea3fbe1c0a46390ed78d433d26e5ed087e307792b05ff4c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7301bc961f4588eaaeceda7bbca7ded06704df19f2495e3588f492024bfe1154",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-18T08:29:50Z",
    "title_canon_sha256": "822c3ebd5f39391e43f30a8205523e9d2b16982855b034a9f0cec2641e4a056c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07943",
    "kind": "arxiv",
    "version": 2
  }
}