Pith Number

pith:KODBSKUR

pith:2010:KODBSKURCLTH4REDK4CWQXVOF7

not attested not anchored not stored refs pending

Non-Generic Tropical Hyperplane Arrangements and the Secondary polytope of $\Delta_{n-1} \times \Delta_{d-1}$

Lindsay C. Piechnik

arxiv:1010.1446 v1 · 2010-10-07 · 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{KODBSKURCLTH4REDK4CWQXVOF7}

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	2026-05-18T04:39:41.059015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5386192a9112e67e44835705685eae2fc2a485a8e2b6e5b4f6ca84550dbd14bc

Aliases

arxiv: 1010.1446 · arxiv_version: 1010.1446v1 · doi: 10.48550/arxiv.1010.1446 · pith_short_12: KODBSKURCLTH · pith_short_16: KODBSKURCLTH4RED · pith_short_8: KODBSKUR

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/KODBSKURCLTH4REDK4CWQXVOF7 \
  | 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: 5386192a9112e67e44835705685eae2fc2a485a8e2b6e5b4f6ca84550dbd14bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "417f0d8e8af6b49ff136bc9f5218ad425c85138caa8b2105dda963fc5b1bb4d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-07T14:41:21Z",
    "title_canon_sha256": "9bfc27c4ea02888bbae1ee8251f42dbb00498510b256f0d90eca5ffa676a4537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1446",
    "kind": "arxiv",
    "version": 1
  }
}