Pith Number

pith:RMXTMDNJ

pith:2026:RMXTMDNJPR36C2YILFUN7TPOU3

not attested not anchored not stored refs pending

The cubic threefold is symplectically irrational

Jiaji Cai

arxiv:2608.01577 v1 · 2026-08-03 · math.SG · 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{RMXTMDNJPR36C2YILFUN7TPOU3}

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	2026-08-04T02:06:03.420349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2f360da97c77e16b085968dfcdeea6ffbb8935bae6f27b6383b1c81ea68f62

Aliases

arxiv: 2608.01577 · arxiv_version: 2608.01577v1 · doi: 10.48550/arxiv.2608.01577 · pith_short_12: RMXTMDNJPR36 · pith_short_16: RMXTMDNJPR36C2YI · pith_short_8: RMXTMDNJ

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/RMXTMDNJPR36C2YILFUN7TPOU3 \
  | 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: 8b2f360da97c77e16b085968dfcdeea6ffbb8935bae6f27b6383b1c81ea68f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57f052d9af9da56b59ed9e9551ebe18f153c0cb8d09b482b59896bceb235c772",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-08-03T01:24:23Z",
    "title_canon_sha256": "a9f93be5ec3411b4f38ff364f88fbcad6efdfc71bfbaa77146767f96830598fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01577",
    "kind": "arxiv",
    "version": 1
  }
}