Pith Number

pith:KOKZNX64

pith:2014:KOKZNX64I7VUUDHEEEZRNDBODR

not attested not anchored not stored refs pending

Computing The Extension Complexities of All 4-Dimensional 0/1-Polytopes

Arnaud Vandaele, Michael Oelze, Stefan Weltge

arxiv:1406.4895 v1 · 2014-06-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOKZNX64I7VUUDHEEEZRNDBODR}

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.

Cited by

1 paper in Pith

Computing Lower Bounds on the Nonnegative Rank via Non-Convex Optimization Solvers

Receipt and verification

First computed	2026-05-18T02:49:21.521335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539596dfdc47eb4a0ce42133168c2e1c7dc48dc800fd1dbb5ee46f896cda8baf

Aliases

arxiv: 1406.4895 · arxiv_version: 1406.4895v1 · doi: 10.48550/arxiv.1406.4895 · pith_short_12: KOKZNX64I7VU · pith_short_16: KOKZNX64I7VUUDHE · pith_short_8: KOKZNX64

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/KOKZNX64I7VUUDHEEEZRNDBODR \
  | 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: 539596dfdc47eb4a0ce42133168c2e1c7dc48dc800fd1dbb5ee46f896cda8baf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa806c1e4ce0abfb89b1d24b11584590c34701137a2402835e546cef8ebd8022",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-18T21:34:00Z",
    "title_canon_sha256": "df3eff0219e5eed993dc345ebc56602c3f9d4b0255838ac92f0e9c302f2c2ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4895",
    "kind": "arxiv",
    "version": 1
  }
}