Pith Number

pith:DHJOXYMO

pith:2019:DHJOXYMOF43NENJ5QWRJWOKQWV

not attested not anchored not stored refs pending

A linear optimization oracle for zonotope computation

Antoine Deza, Lionel Pournin

arxiv:1912.02439 v1 · 2019-12-05 · math.CO · math.MG · 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{DHJOXYMOF43NENJ5QWRJWOKQWV}

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	2026-07-05T03:40:26.258562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d2ebe18e2f36d2353d85a29b3950b554dade715e6120bbe9d98ff2ccd5f3fa

Aliases

arxiv: 1912.02439 · arxiv_version: 1912.02439v1 · doi: 10.48550/arxiv.1912.02439 · pith_short_12: DHJOXYMOF43N · pith_short_16: DHJOXYMOF43NENJ5 · pith_short_8: DHJOXYMO

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/DHJOXYMOF43NENJ5QWRJWOKQWV \
  | 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: 19d2ebe18e2f36d2353d85a29b3950b554dade715e6120bbe9d98ff2ccd5f3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e50e3f8a82cb8fbe2c1998ea40533ace442d9a8323baab6d0ac39cde08ea66",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-05T08:52:14Z",
    "title_canon_sha256": "c108879e35a9d902feb715714e4ca72b2d11b70f52336e8f05ac39e47f68d6d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02439",
    "kind": "arxiv",
    "version": 1
  }
}