Pith Number

pith:KOOAYQ2I

pith:2017:KOOAYQ2IWZ63DYTKBY7ZULMCCE

not attested not anchored not stored refs pending

Computing the poset of layers of a toric arrangement

Matthias Lenz

arxiv:1708.06646 v2 · 2017-08-22 · 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{KOOAYQ2IWZ63DYTKBY7ZULMCCE}

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

Representations of torsion-free arithmetic matroids

Receipt and verification

First computed	2026-05-18T00:36:47.174683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539c0c4348b67db1e26a0e3f9a2d82111ee49d1020081b005d5e2112a6317836

Aliases

arxiv: 1708.06646 · arxiv_version: 1708.06646v2 · doi: 10.48550/arxiv.1708.06646 · pith_short_12: KOOAYQ2IWZ63 · pith_short_16: KOOAYQ2IWZ63DYTK · pith_short_8: KOOAYQ2I

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/KOOAYQ2IWZ63DYTKBY7ZULMCCE \
  | 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: 539c0c4348b67db1e26a0e3f9a2d82111ee49d1020081b005d5e2112a6317836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a8fc90a54feb2213e95de54b4eb9f5fbff9357fd0a855ae1f6eab8a85a8963",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-22T14:35:55Z",
    "title_canon_sha256": "d231c6235fbc81185f09073fba4176821d82167413e2dce224b1c9b2a23fdcc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06646",
    "kind": "arxiv",
    "version": 2
  }
}