Pith Number

pith:6ZYDWWE3

pith:2019:6ZYDWWE3ILZQIQ2324AWG2FZEK

not attested not anchored not stored refs pending

Rational cubic fourfolds in Hassett divisors

Song Yang, Xun Yu

arxiv:1905.01936 v1 · 2019-05-06 · 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{6ZYDWWE3ILZQIQ2324AWG2FZEK}

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	2026-05-17T23:46:56.972697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6703b589b42f304435bd7016368b922a202e5cb8bcfa9884468239ce44062ba

Aliases

arxiv: 1905.01936 · arxiv_version: 1905.01936v1 · doi: 10.48550/arxiv.1905.01936 · pith_short_12: 6ZYDWWE3ILZQ · pith_short_16: 6ZYDWWE3ILZQIQ23 · pith_short_8: 6ZYDWWE3

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/6ZYDWWE3ILZQIQ2324AWG2FZEK \
  | 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: f6703b589b42f304435bd7016368b922a202e5cb8bcfa9884468239ce44062ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ebfa5c7dd0f4ab8604669da9d25d799392e084a56a3ff511f92432a10f87ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-06T11:30:49Z",
    "title_canon_sha256": "9ee7ba8c3fa93c65a5c742d62ad80749fe5ade5dd54ce85421fc1b33ca2348a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01936",
    "kind": "arxiv",
    "version": 1
  }
}