Pith Number

pith:IKKDTXBO

pith:2010:IKKDTXBOLG2CZLX6PPZUMF7OLN

not attested not anchored not stored refs pending

The Degree Complexity of Smooth Surfaces of codimension 2

Jeaman Ahn, Sijong Kwak, YeongSeok Song

arxiv:1008.0978 v2 · 2010-08-05 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKKDTXBOLG2CZLX6PPZUMF7OLN}

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	2026-05-18T04:25:11.293481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

429439dc2e59b42caefe7bf34617ee5b737f6dc4eec92d4a4b644dde385ce17f

Aliases

arxiv: 1008.0978 · arxiv_version: 1008.0978v2 · doi: 10.48550/arxiv.1008.0978 · pith_short_12: IKKDTXBOLG2C · pith_short_16: IKKDTXBOLG2CZLX6 · pith_short_8: IKKDTXBO

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/IKKDTXBOLG2CZLX6PPZUMF7OLN \
  | 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: 429439dc2e59b42caefe7bf34617ee5b737f6dc4eec92d4a4b644dde385ce17f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "894ec1f8fda040d5940c91fd805eba6ed9b871b2e39762eded72cb0be1230cd8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-05T14:06:33Z",
    "title_canon_sha256": "e83f37cf0d7c623c502802a1d470eec5ad99740fd63dc8988de0a0ceda144a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0978",
    "kind": "arxiv",
    "version": 2
  }
}