Pith Number

pith:HSE7RHGR

pith:2013:HSE7RHGRLZJ5MINJ7XTPJUMUHE

not attested not anchored not stored refs pending

Toric Birational Geometry and Applications to Lattice Polytopes

Douglas Mons\^ores

arxiv:1307.1449 v1 · 2013-07-04 · 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{HSE7RHGRLZJ5MINJ7XTPJUMUHE}

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 geometry of Frobenius on toric varieties

Receipt and verification

First computed	2026-05-18T03:19:13.643821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c89f89cd15e53d621a9fde6f4d194393946ad9f78e6ddd799b6579dec23a0b3

Aliases

arxiv: 1307.1449 · arxiv_version: 1307.1449v1 · doi: 10.48550/arxiv.1307.1449 · pith_short_12: HSE7RHGRLZJ5 · pith_short_16: HSE7RHGRLZJ5MINJ · pith_short_8: HSE7RHGR

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/HSE7RHGRLZJ5MINJ7XTPJUMUHE \
  | 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: 3c89f89cd15e53d621a9fde6f4d194393946ad9f78e6ddd799b6579dec23a0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b75fc53f6c97e398ff7153a3330d16c50a2eb4e9afb74622b30be5c47f99f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-04T18:53:33Z",
    "title_canon_sha256": "d909032e094c626d9e6c47772f21795b6c15836f98e871d747d662cabefd620e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1449",
    "kind": "arxiv",
    "version": 1
  }
}