Pith Number

pith:KYUGBUXI

pith:2016:KYUGBUXIMN4LXH4BASDV77HM36

not attested not anchored not stored refs pending

Singular Fibers and Kodaira Dimensions

Kang Zuo, Sheng-Li Tan, Xin Lu

arxiv:1610.07756 v1 · 2016-10-25 · 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{KYUGBUXIMN4LXH4BASDV77HM36}

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	2026-05-18T01:01:17.716965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

562860d2e86378bb9f8104875ffcecdf9bd6628d382afb426bea96bba033431d

Aliases

arxiv: 1610.07756 · arxiv_version: 1610.07756v1 · doi: 10.48550/arxiv.1610.07756 · pith_short_12: KYUGBUXIMN4L · pith_short_16: KYUGBUXIMN4LXH4B · pith_short_8: KYUGBUXI

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/KYUGBUXIMN4LXH4BASDV77HM36 \
  | 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: 562860d2e86378bb9f8104875ffcecdf9bd6628d382afb426bea96bba033431d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e0954326bea81561ac5969b15fa113ef3e9ab1015c885f037fcb7b190e8c78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-25T07:31:35Z",
    "title_canon_sha256": "bc55a00ece1a0d3d177089ca8f20dc494916fd01a02bc2627024ea968e4489a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07756",
    "kind": "arxiv",
    "version": 1
  }
}