Pith Number

pith:TFC6VWML

pith:2013:TFC6VWMLW5VEIQORGCYBAZ3357

not attested not anchored not stored refs pending

Markov complexity of monomial curves

Apostolos Thoma, Hara Charalambous, Marius Vladoiu

arxiv:1311.4707 v1 · 2013-11-19 · 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{TFC6VWMLW5VEIQORGCYBAZ3357}

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	2026-05-18T03:06:43.653100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9945ead98bb76a4441d130b010677befca791cc3b0ceac77f68d283fa138a0cf

Aliases

arxiv: 1311.4707 · arxiv_version: 1311.4707v1 · doi: 10.48550/arxiv.1311.4707 · pith_short_12: TFC6VWMLW5VE · pith_short_16: TFC6VWMLW5VEIQOR · pith_short_8: TFC6VWML

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/TFC6VWMLW5VEIQORGCYBAZ3357 \
  | 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: 9945ead98bb76a4441d130b010677befca791cc3b0ceac77f68d283fa138a0cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2407b7e8e738c499945ae6a78b85568de661a354d890f0f896aa57398a8bd3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-11-19T11:45:39Z",
    "title_canon_sha256": "f9b4a029f11cece340d673eb80a3e4871af14c4b54982eba2c1d7a15326b8e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4707",
    "kind": "arxiv",
    "version": 1
  }
}