Pith Number

pith:WB6E32VY

pith:2016:WB6E32VY7CX2Z64FPADCJDP4NL

not attested not anchored not stored refs pending

Optimizing the Production Cost of Minting with Mixed Integer Programming

Adolfo S\'anchez-Flores, Carlos A. Alfaro, C\'esar Guadarrama, Jorge A. Aguilera, Ra\'ul Mart\'inez-Noriega

arxiv:1608.04321 v1 · 2016-08-15 · 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{WB6E32VY7CX2Z64FPADCJDP4NL}

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	2026-05-18T01:09:03.812737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07c4deab8f8afacfb857806248dfc6ac5591155764b29547279ba9c589acfce

Aliases

arxiv: 1608.04321 · arxiv_version: 1608.04321v1 · doi: 10.48550/arxiv.1608.04321 · pith_short_12: WB6E32VY7CX2 · pith_short_16: WB6E32VY7CX2Z64F · pith_short_8: WB6E32VY

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/WB6E32VY7CX2Z64FPADCJDP4NL \
  | 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: b07c4deab8f8afacfb857806248dfc6ac5591155764b29547279ba9c589acfce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7a518fbe9ab1b1a95503323ea6d4ae382bd139164ec54df89d7c415d456e17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-15T16:38:01Z",
    "title_canon_sha256": "81ad5d78057e9a6367a64d18a80904f3bba142bc7a6ccc66380f478c71f8cb55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04321",
    "kind": "arxiv",
    "version": 1
  }
}