Pith Number

pith:Q62KMP4B

pith:2017:Q62KMP4B6HJ3EFQSPYS63TZTL4

not attested not anchored not stored refs pending

Unimodular hierarchical models and their Graver bases

Christopher O'Neill, Daniel Irving Bernstein

arxiv:1704.09018 v2 · 2017-04-28 · math.CO · 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{Q62KMP4B6HJ3EFQSPYS63TZTL4}

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	2026-05-18T00:08:16.208193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87b4a63f81f1d3b216127e25edcf335f00bfdc53237c57c54e8099f4436d5e75

Aliases

arxiv: 1704.09018 · arxiv_version: 1704.09018v2 · doi: 10.48550/arxiv.1704.09018 · pith_short_12: Q62KMP4B6HJ3 · pith_short_16: Q62KMP4B6HJ3EFQS · pith_short_8: Q62KMP4B

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/Q62KMP4B6HJ3EFQSPYS63TZTL4 \
  | 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: 87b4a63f81f1d3b216127e25edcf335f00bfdc53237c57c54e8099f4436d5e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67880894e6347f43bc7db909ecba5700382eedae47b3b2d461729b5f47dc1088",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-28T17:21:22Z",
    "title_canon_sha256": "37e7453f513a88fe169a5e92c05bb0b321640f5d7e5dbad15b9638e4009108e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.09018",
    "kind": "arxiv",
    "version": 2
  }
}