Pith Number

pith:HVL4X7V2

pith:2016:HVL4X7V2XKQHZ3SZIB6JWNIYLW

not attested not anchored not stored refs pending

Smooth Rational Curves on Singular Rational Surfaces

Ziquan Zhuang

arxiv:1604.02166 v2 · 2016-04-07 · 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{HVL4X7V2XKQHZ3SZIB6JWNIYLW}

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	2026-05-18T00:03:20.043397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d57cbfebabaa07cee59407c9b35185daead165fd4cc79bba1f9620d37feed9a

Aliases

arxiv: 1604.02166 · arxiv_version: 1604.02166v2 · doi: 10.48550/arxiv.1604.02166 · pith_short_12: HVL4X7V2XKQH · pith_short_16: HVL4X7V2XKQHZ3SZ · pith_short_8: HVL4X7V2

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/HVL4X7V2XKQHZ3SZIB6JWNIYLW \
  | 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: 3d57cbfebabaa07cee59407c9b35185daead165fd4cc79bba1f9620d37feed9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bab811801b9d29ba1ec77e81a8ca4cf5e28543eba383f312076c1370c9a7c4b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-07T20:21:24Z",
    "title_canon_sha256": "55720d415609ad925fda590d6b6893a69f0700063869aed3fbf6693ed8901306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02166",
    "kind": "arxiv",
    "version": 2
  }
}