Pith Number

pith:CNB23C7L

pith:2021:CNB23C7LDREOUO2OOWYEDN35IW

not attested not anchored not stored refs pending

Tropicalization of toric prevarieties

Alex K\"uronya, Martin Ulirsch, Pedro Souza

arxiv:2107.03139 v1 · 2021-07-07 · 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{CNB23C7LDREOUO2OOWYEDN35IW}

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

Formalizing multi-graded Brenner-Schr\"oer Proj schemes and dilatations of rings in Lean4

Receipt and verification

First computed	2026-07-05T02:56:00.966935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1343ad8beb1c48ea3b4e75b041b77d45a73d7e5ee639583eb2b1be69ac0584f8

Aliases

arxiv: 2107.03139 · arxiv_version: 2107.03139v1 · doi: 10.48550/arxiv.2107.03139 · pith_short_12: CNB23C7LDREO · pith_short_16: CNB23C7LDREOUO2O · pith_short_8: CNB23C7L

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/CNB23C7LDREOUO2OOWYEDN35IW \
  | 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: 1343ad8beb1c48ea3b4e75b041b77d45a73d7e5ee639583eb2b1be69ac0584f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa435f5e17c2bc5033d13831d9f6b3086287e5d049a5d648e0b71d1289b4c6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-07-07T10:56:01Z",
    "title_canon_sha256": "1ad841489b202a1305434fefc2708f3ba4ed83fffcdcebabf97a64ec14bbbaac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.03139",
    "kind": "arxiv",
    "version": 1
  }
}