Pith Number

pith:2DMZWFF7

pith:2015:2DMZWFF74ZNYPONBNXLT3TCWUR

not attested not anchored not stored refs pending

Intersection Theory on Tropicalizations of Toroidal Embeddings

Andreas Gross

arxiv:1510.04604 v1 · 2015-10-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DMZWFF74ZNYPONBNXLT3TCWUR}

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.

Cited by

1 paper in Pith

The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

Receipt and verification

First computed	2026-05-18T00:24:20.715778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0d99b14bfe65b87b9a16dd73dcc56a4756f6cce180301d1f456c8ffb8769646

Aliases

arxiv: 1510.04604 · arxiv_version: 1510.04604v1 · doi: 10.48550/arxiv.1510.04604 · pith_short_12: 2DMZWFF74ZNY · pith_short_16: 2DMZWFF74ZNYPONB · pith_short_8: 2DMZWFF7

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/2DMZWFF74ZNYPONBNXLT3TCWUR \
  | 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: d0d99b14bfe65b87b9a16dd73dcc56a4756f6cce180301d1f456c8ffb8769646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5799d2480faeeedc5c6f7ecdd986b4118930ae4ec5b3c17819bf86923a2a829f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-15T16:10:47Z",
    "title_canon_sha256": "7a2d40971d3ad7c71738b73970f531557a69ab406d3dbeaf61eca97ff2c1cb80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04604",
    "kind": "arxiv",
    "version": 1
  }
}