Pith Number

pith:3WYQMHDQ

pith:2010:3WYQMHDQ7RK4JGVNWDEDUQ65JT

not attested not anchored not stored refs pending

Gromov K-area and jumping curves in CP^n

Yasha Savelyev

arxiv:1006.4383 v6 · 2010-06-22 · math.SG · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WYQMHDQ7RK4JGVNWDEDUQ65JT}

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	2026-05-18T02:41:50.846600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb1061c70fc55c49aadb0c83a43dd4ce5d7671f3c46b2cb397d48ab9aa8b0b9

Aliases

arxiv: 1006.4383 · arxiv_version: 1006.4383v6 · doi: 10.48550/arxiv.1006.4383 · pith_short_12: 3WYQMHDQ7RK4 · pith_short_16: 3WYQMHDQ7RK4JGVN · pith_short_8: 3WYQMHDQ

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/3WYQMHDQ7RK4JGVNWDEDUQ65JT \
  | 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: ddb1061c70fc55c49aadb0c83a43dd4ce5d7671f3c46b2cb397d48ab9aa8b0b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d49dc865a7b59f9abd2db23a00450014a1ed022bfd5f6958c81cb08341b37c5",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-06-22T21:37:15Z",
    "title_canon_sha256": "4fba056390ba63496beb9719c28c850d381ed582fdec497806cb27773ccc6b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4383",
    "kind": "arxiv",
    "version": 6
  }
}