Pith Number

pith:IAXJY2OC

pith:2025:IAXJY2OCYRTU6IUJ5PR27J3VV7

not attested not anchored not stored refs pending

Rational surfaces on low degree hypersurfaces

Shuntaro Yamagishi, Tim Browning

arxiv:2508.18938 v1 · 2025-08-26 · 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{IAXJY2OCYRTU6IUJ5PR27J3VV7}

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	2026-07-05T11:59:34.089982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

402e9c69c2c4674f2289ebe3afa775afe0fb3886db8fe5e6eb2f263139cc40bb

Aliases

arxiv: 2508.18938 · arxiv_version: 2508.18938v1 · doi: 10.48550/arxiv.2508.18938 · pith_short_12: IAXJY2OCYRTU · pith_short_16: IAXJY2OCYRTU6IUJ · pith_short_8: IAXJY2OC

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/IAXJY2OCYRTU6IUJ5PR27J3VV7 \
  | 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: 402e9c69c2c4674f2289ebe3afa775afe0fb3886db8fe5e6eb2f263139cc40bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "695a7dfc586ec792ea6023bfd680d961805fc41b77c13cced117a93b8361945e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-26T11:24:35Z",
    "title_canon_sha256": "e59c1639c28d4cd9d8d61dab958ed896ffa81ef3fc2747f766e6e5fc457ee3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18938",
    "kind": "arxiv",
    "version": 1
  }
}