Pith Number

pith:ACK3SYU5

pith:2011:ACK3SYU5DTWHMN2DDMTMWIG7SO

not attested not anchored not stored refs pending

Quartic K3 surfaces and Cremona transformations

Keiji Oguiso

arxiv:1110.4726 v3 · 2011-10-21 · 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{ACK3SYU5DTWHMN2DDMTMWIG7SO}

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	2026-05-18T03:52:53.263710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0095b9629d1cec7637431b26cb20df9394b3192140407eb829aa6f9f612b13c1

Aliases

arxiv: 1110.4726 · arxiv_version: 1110.4726v3 · doi: 10.48550/arxiv.1110.4726 · pith_short_12: ACK3SYU5DTWH · pith_short_16: ACK3SYU5DTWHMN2D · pith_short_8: ACK3SYU5

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/ACK3SYU5DTWHMN2DDMTMWIG7SO \
  | 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: 0095b9629d1cec7637431b26cb20df9394b3192140407eb829aa6f9f612b13c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013b00220661b0e85ee22f026b57615f8e2b81ab5f3b56bc869b01952e0cd3e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-21T08:03:07Z",
    "title_canon_sha256": "12adc621e743f37aa2cdb80a0a070351e9e2305411ceb0b1be5f732fc7ae0851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4726",
    "kind": "arxiv",
    "version": 3
  }
}