Pith Number

pith:6KXRI3BJ

pith:2019:6KXRI3BJHN4SOKPM4UEHU3JXJF

not attested not anchored not stored refs pending

Rational Elliptic Surfaces and the Trigonometry of Tetrahedra

Daniil Rudenko

arxiv:1908.01141 v2 · 2019-08-03 · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KXRI3BJHN4SOKPM4UEHU3JXJF}

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	2026-07-05T02:46:22.715513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2af146c293b792729ece5087a6d3749793eee2d49527be2b5ee939e91c7614a

Aliases

arxiv: 1908.01141 · arxiv_version: 1908.01141v2 · doi: 10.48550/arxiv.1908.01141 · pith_short_12: 6KXRI3BJHN4S · pith_short_16: 6KXRI3BJHN4SOKPM · pith_short_8: 6KXRI3BJ

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/6KXRI3BJHN4SOKPM4UEHU3JXJF \
  | 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: f2af146c293b792729ece5087a6d3749793eee2d49527be2b5ee939e91c7614a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4346859bd61bee106350f99aa24b9d754b9d71253c9dcea1f71d7856d243f55",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-03T10:00:58Z",
    "title_canon_sha256": "816ca17e0d513575ec4595bbaba61f295aeb72450cd4a7b57a4d0fc1980dd708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01141",
    "kind": "arxiv",
    "version": 2
  }
}