Pith Number

pith:HTQEOY2N

pith:2010:HTQEOY2NV5Z6SIG7J44CQMU4SV

not attested not anchored not stored refs pending

Density of Rational Curves on K3 Surfaces

James D. Lewis, Xi Chen

arxiv:1004.5167 v3 · 2010-04-29 · 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{HTQEOY2NV5Z6SIG7J44CQMU4SV}

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	2026-05-18T02:24:15.200237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ce047634daf73e920df4f3828329c95540c665e4f3318d9af09f1383ef35d9b

Aliases

arxiv: 1004.5167 · arxiv_version: 1004.5167v3 · doi: 10.48550/arxiv.1004.5167 · pith_short_12: HTQEOY2NV5Z6 · pith_short_16: HTQEOY2NV5Z6SIG7 · pith_short_8: HTQEOY2N

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/HTQEOY2NV5Z6SIG7J44CQMU4SV \
  | 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: 3ce047634daf73e920df4f3828329c95540c665e4f3318d9af09f1383ef35d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7146bd0e3d5762bed89484895d8ac02b8b5409d8f6641d1e25a2b58e9f11b06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-29T00:42:35Z",
    "title_canon_sha256": "2324560fa770eb3306a82762b6de962a30c7f9c3377e6933b2b0bac2092d7ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5167",
    "kind": "arxiv",
    "version": 3
  }
}