Pith Number

pith:TNZIN73K

pith:2011:TNZIN73KC5AZKEMN7UBPK6BHXP

not attested not anchored not stored refs pending

Minimality of toric arrangements

Emanuele Delucchi, Giacomo d'Antonio

arxiv:1112.5041 v3 · 2011-12-21 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNZIN73KC5AZKEMN7UBPK6BHXP}

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	2026-05-18T03:29:51.229357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7286ff6a174195118dfd02f57827bbc4db0af7d7c667f4010be6c4edb3a975

Aliases

arxiv: 1112.5041 · arxiv_version: 1112.5041v3 · doi: 10.48550/arxiv.1112.5041 · pith_short_12: TNZIN73KC5AZ · pith_short_16: TNZIN73KC5AZKEMN · pith_short_8: TNZIN73K

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/TNZIN73KC5AZKEMN7UBPK6BHXP \
  | 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: 9b7286ff6a174195118dfd02f57827bbc4db0af7d7c667f4010be6c4edb3a975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac80a8601f8a2a3ddd931484851316264d220f5079749758940eac22ef8d9e9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-21T14:57:57Z",
    "title_canon_sha256": "fca5dfaea26770ba4c00eb4d993ab66b2360b3353e73ae4ee93e86a3cd256e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5041",
    "kind": "arxiv",
    "version": 3
  }
}