Pith Number

pith:7B5DRYOP

pith:2023:7B5DRYOPF6RE7V5BBGVSCDOQIV

not attested not anchored not stored refs pending

The minimal and next minimal volumes of normal KSBA stable surfaces with $p_g\ge 2$

Jinshan Chen

arxiv:2308.01473 v3 · 2023-08-02 · 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{7B5DRYOPF6RE7V5BBGVSCDOQIV}

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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.

Cited by

1 paper in Pith

Normal stable degenerations of Noether-Horikawa surfaces

Receipt and verification

First computed	2026-07-05T06:52:25.419916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87a38e1cf2fa24fd7a109ab210dd04569e046127a993044367552638e1548b8

Aliases

arxiv: 2308.01473 · arxiv_version: 2308.01473v3 · doi: 10.48550/arxiv.2308.01473 · pith_short_12: 7B5DRYOPF6RE · pith_short_16: 7B5DRYOPF6RE7V5B · pith_short_8: 7B5DRYOP

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/7B5DRYOPF6RE7V5BBGVSCDOQIV \
  | 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: f87a38e1cf2fa24fd7a109ab210dd04569e046127a993044367552638e1548b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ddd43083e5e9fcf463ec66631816c2e4c385799805484e2a40edd18919e0c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-08-02T23:40:52Z",
    "title_canon_sha256": "e0282fb7560a2b1ea47f565029d052da70911125b230d4bb52f3ab84b7a85ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.01473",
    "kind": "arxiv",
    "version": 3
  }
}