Pith Number

pith:VGJHNH7U

pith:2021:VGJHNH7UDOYQQAFOYIMZXXC3TF

not attested not anchored not stored refs pending

Symmetrically colored Gaussian graphical models with toric vanishing ideal

Aida Maraj, Jane Ivy Coons, Miruna-Stefana Sorea, Pratik Misra

arxiv:2111.14817 v2 · 2021-11-29 · math.CO · math.AG · math.ST · 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{VGJHNH7UDOYQQAFOYIMZXXC3TF}

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	2026-07-05T05:56:37.593121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a992769ff41bb10800aec2199bdc5b99577f13dafff95d1bc8d3c3e82a22ef8e

Aliases

arxiv: 2111.14817 · arxiv_version: 2111.14817v2 · doi: 10.48550/arxiv.2111.14817 · pith_short_12: VGJHNH7UDOYQ · pith_short_16: VGJHNH7UDOYQQAFO · pith_short_8: VGJHNH7U

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/VGJHNH7UDOYQQAFOYIMZXXC3TF \
  | 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: a992769ff41bb10800aec2199bdc5b99577f13dafff95d1bc8d3c3e82a22ef8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "055d8fa4d993653d4f447f4c065dd525a559186012034bfbad6cfb7eca4de55b",
    "cross_cats_sorted": [
      "math.AG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-11-29T18:58:48Z",
    "title_canon_sha256": "b2bbb51e481bf61b44f5667579fd4ece33d418784ef93a6e2d1d4505b1527e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.14817",
    "kind": "arxiv",
    "version": 2
  }
}