Pith Number

pith:T7PUAD5S

pith:2013:T7PUAD5SOPVZZZV63IOLC6UYUD

not attested not anchored not stored refs pending

Smooth monomial Togliatti systems of cubics

Mateusz Micha{\l}ek, Rosa-Maria Mir\'o-Roig

arxiv:1310.2529 v2 · 2013-10-09 · math.AG · 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{T7PUAD5SOPVZZZV63IOLC6UYUD}

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	2026-05-18T01:14:36.368716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fdf400fb273eb9ce6beda1cb17a98a0dd2fa60f1fa7044a5537649e2be58ded

Aliases

arxiv: 1310.2529 · arxiv_version: 1310.2529v2 · doi: 10.48550/arxiv.1310.2529 · pith_short_12: T7PUAD5SOPVZ · pith_short_16: T7PUAD5SOPVZZZV6 · pith_short_8: T7PUAD5S

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/T7PUAD5SOPVZZZV63IOLC6UYUD \
  | 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: 9fdf400fb273eb9ce6beda1cb17a98a0dd2fa60f1fa7044a5537649e2be58ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5319f8a5d3e6fc87d49420dcf98200d7050ffb325aae0fce1aa29607782c0ade",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-09T15:55:04Z",
    "title_canon_sha256": "52bb95fa1b31c489653659b8379b2e5be2ad023ede7003e8b70def5a8a9f29f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2529",
    "kind": "arxiv",
    "version": 2
  }
}