Pith Number

pith:4WZ2DPKB

pith:2014:4WZ2DPKBLHRJM2V5BXMIT5KHKH

not attested not anchored not stored refs pending

Joint optimization of well placement and control for nonconventional well types

Ronald D. Haynes, Thomas D. Humphries

arxiv:1409.4369 v2 · 2014-09-15 · 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{4WZ2DPKBLHRJM2V5BXMIT5KHKH}

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	2026-05-18T02:29:54.847571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b3a1bd4159e2966abd0dd889f54751e3a61a79a15f721cda2370513fd52420

Aliases

arxiv: 1409.4369 · arxiv_version: 1409.4369v2 · doi: 10.48550/arxiv.1409.4369 · pith_short_12: 4WZ2DPKBLHRJ · pith_short_16: 4WZ2DPKBLHRJM2V5 · pith_short_8: 4WZ2DPKB

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/4WZ2DPKBLHRJM2V5BXMIT5KHKH \
  | 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: e5b3a1bd4159e2966abd0dd889f54751e3a61a79a15f721cda2370513fd52420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f551adf1a39f4b17e24a3edddea707ea4d1182a1708054b82ffd826e252ec1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-09-15T18:34:46Z",
    "title_canon_sha256": "f09b6f5fa65b7eebb92140f15a99cd98ce29ca38d4fb2ae8cf1cebba9b247cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4369",
    "kind": "arxiv",
    "version": 2
  }
}