Pith Number

pith:3DYCIQEK

pith:2017:3DYCIQEKFGJ5NBXDP63JC67O2D

not attested not anchored not stored refs pending

The Maximum Likelihood Degree of Toric Varieties

Carlos Am\'endola, Courtney R. Gibbons, Daniel Smolkin, Evan D. Nash, Isaac Burke, Jose Israel Rodriguez, Martin Helmer, Nathan Bliss, Serkan Ho\c{s}ten

arxiv:1703.02251 v2 · 2017-03-07 · math.AG · math.ST · stat.CO · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DYCIQEKFGJ5NBXDP63JC67O2D}

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	2026-05-17T23:48:17.675310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f024408a2993d686e37fb6917beed0f68a4f79be4b6b20cff91b2699285c8c

Aliases

arxiv: 1703.02251 · arxiv_version: 1703.02251v2 · doi: 10.48550/arxiv.1703.02251 · pith_short_12: 3DYCIQEKFGJ5 · pith_short_16: 3DYCIQEKFGJ5NBXD · pith_short_8: 3DYCIQEK

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/3DYCIQEKFGJ5NBXDP63JC67O2D \
  | 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: d8f024408a2993d686e37fb6917beed0f68a4f79be4b6b20cff91b2699285c8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c24f8352d72c29ffac77a0d9def4c8d61872e3e35fdbcd51a7096ee63f983e3",
    "cross_cats_sorted": [
      "math.ST",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-07T07:44:52Z",
    "title_canon_sha256": "4fae218c0ff288e653a0a1d1492a67ef54920b3f308d1cb6276725aa9af4f440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02251",
    "kind": "arxiv",
    "version": 2
  }
}