Pith Number

pith:36UCXISI

pith:2018:36UCXISIUVGA2NURE4VTXEX6HN

not attested not anchored not stored refs pending

Unexpected curves and Togliatti-type surfaces

Justyna Szpond

arxiv:1810.06607 v3 · 2018-10-15 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36UCXISIUVGA2NURE4VTXEX6HN}

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	2026-05-17T23:46:19.294895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa82ba248a54c0d3691272b3b92fe3b4185453915a0863a92bc10ddb8fd62c6

Aliases

arxiv: 1810.06607 · arxiv_version: 1810.06607v3 · doi: 10.48550/arxiv.1810.06607 · pith_short_12: 36UCXISIUVGA · pith_short_16: 36UCXISIUVGA2NUR · pith_short_8: 36UCXISI

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/36UCXISIUVGA2NURE4VTXEX6HN \
  | 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: dfa82ba248a54c0d3691272b3b92fe3b4185453915a0863a92bc10ddb8fd62c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be2631c776ec6dd7d1e64a03ab7ec18add67fc636f1b17e7c3dfee09fe701e96",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-15T18:38:47Z",
    "title_canon_sha256": "9c2b7fc0de1d6350c2ea6ba02d77e90c21b38c012f546234c573b82aa84a639e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06607",
    "kind": "arxiv",
    "version": 3
  }
}