Pith Number

pith:LW5AVYN3

pith:2016:LW5AVYN3HLELNCMFUMOL2C4MPN

not attested not anchored not stored refs pending

Extended Klein model and a bound on curves with negative self-intersection

Xin Xiong

arxiv:1610.08140 v2 · 2016-10-26 · 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{LW5AVYN3HLELNCMFUMOL2C4MPN}

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	2026-05-18T00:21:35.502769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dba0ae1bb3ac8b68985a31cbd0b8c7b6500dca9c41edbca0fed0552458224c1

Aliases

arxiv: 1610.08140 · arxiv_version: 1610.08140v2 · doi: 10.48550/arxiv.1610.08140 · pith_short_12: LW5AVYN3HLEL · pith_short_16: LW5AVYN3HLELNCMF · pith_short_8: LW5AVYN3

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/LW5AVYN3HLELNCMFUMOL2C4MPN \
  | 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: 5dba0ae1bb3ac8b68985a31cbd0b8c7b6500dca9c41edbca0fed0552458224c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e549e6bec8605853bbced7b55dfdb449abf3613449055269ca58bb75ed0d1a37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-26T01:35:26Z",
    "title_canon_sha256": "2c659cecc4e565d8f3a051c2568d1e570fc3a757ab325fadc7d6ad07a9ebecd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08140",
    "kind": "arxiv",
    "version": 2
  }
}