Pith Number

pith:RZBVT5IX

pith:2018:RZBVT5IXFI6ANM2CE675HBHAFL

not attested not anchored not stored refs pending

Unboundedness of Markov complexity of monomial curves in ${\mathbb A}^n$ for $n\geq 4$

Apostolos Thoma, Dimitra Kosta

arxiv:1809.09932 v1 · 2018-09-26 · math.AC · 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{RZBVT5IXFI6ANM2CE675HBHAFL}

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	2026-05-18T00:04:43.233267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4359f5172a3c06b34227bfd384e02ad21c11fcbbb5d9e2fdb737c031abf160

Aliases

arxiv: 1809.09932 · arxiv_version: 1809.09932v1 · doi: 10.48550/arxiv.1809.09932 · pith_short_12: RZBVT5IXFI6A · pith_short_16: RZBVT5IXFI6ANM2C · pith_short_8: RZBVT5IX

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/RZBVT5IXFI6ANM2CE675HBHAFL \
  | 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: 8e4359f5172a3c06b34227bfd384e02ad21c11fcbbb5d9e2fdb737c031abf160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c837690880b310c4409cd1508dfb1ea3937c50db509df5e44ca7102709d86de",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-09-26T12:14:35Z",
    "title_canon_sha256": "4d2c581ab8e5fcbcb26ab94838940d95e1f068b79b9c7124f7074d2715d473f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09932",
    "kind": "arxiv",
    "version": 1
  }
}