Pith Number

pith:MXFI67OC

pith:2020:MXFI67OC53W2OD3DRWAQDZLVRS

not attested not anchored not stored refs pending

Approximating rational points on toric varieties

David McKinnon, Matthew Satriano

arxiv:2004.05212 v1 · 2020-04-10 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXFI67OC53W2OD3DRWAQDZLVRS}

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	2026-07-05T00:54:34.901640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ca8f7dc2eeeda70f638d8101e5758c8d1dfa47e16177301b0ea60818ebdb4d

Aliases

arxiv: 2004.05212 · arxiv_version: 2004.05212v1 · doi: 10.48550/arxiv.2004.05212 · pith_short_12: MXFI67OC53W2 · pith_short_16: MXFI67OC53W2OD3D · pith_short_8: MXFI67OC

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/MXFI67OC53W2OD3DRWAQDZLVRS \
  | 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: 65ca8f7dc2eeeda70f638d8101e5758c8d1dfa47e16177301b0ea60818ebdb4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be4baa653bf8178046441968c7d885a393cac387b02ad335dc7d7defd6be93b1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-04-10T19:45:53Z",
    "title_canon_sha256": "fcaa2cf7196e08413a2b4ba7c96582de326c95887eceb0bf26a84ec105856606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.05212",
    "kind": "arxiv",
    "version": 1
  }
}