Pith Number

pith:TFZU3UFG

pith:2026:TFZU3UFGGZN4QTNAQSWUEH2CIM

not attested not anchored not stored refs pending

On the canonical degree of a Gorenstein minimal threefold of general type

Jiabin Du, Yong Hu

arxiv:2606.31170 v1 · 2026-06-30 · 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{TFZU3UFGGZN4QTNAQSWUEH2CIM}

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	2026-07-01T01:17:31.080526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99734dd0a6365bc84da084ad421f42430714a9c8132f2bce370f695f5225623a

Aliases

arxiv: 2606.31170 · arxiv_version: 2606.31170v1 · doi: 10.48550/arxiv.2606.31170 · pith_short_12: TFZU3UFGGZN4 · pith_short_16: TFZU3UFGGZN4QTNA · pith_short_8: TFZU3UFG

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/TFZU3UFGGZN4QTNAQSWUEH2CIM \
  | 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: 99734dd0a6365bc84da084ad421f42430714a9c8132f2bce370f695f5225623a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c23a81be27ec6ea419e7a82092ccabb361f7f5a846c7c06a8739b8168c7c13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-30T06:00:07Z",
    "title_canon_sha256": "89df346b89ce1411d3ef51327c334caf69e5e07998d663c0015df9f8d609fa88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31170",
    "kind": "arxiv",
    "version": 1
  }
}