Pith Number

pith:RAA24IYU

pith:2011:RAA24IYUDM247MREEGYYQGRZW3

not attested not anchored not stored refs pending

Cubic Surfaces with Special Periods

Domingo Toledo, James A. Carlson

arxiv:1104.1782 v3 · 2011-04-10 · 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{RAA24IYUDM247MREEGYYQGRZW3}

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	2026-05-18T04:11:40.626795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8801ae23141b35cfb22421b1881a39b6c23281c685a31f31f0f6afb5396adf88

Aliases

arxiv: 1104.1782 · arxiv_version: 1104.1782v3 · doi: 10.48550/arxiv.1104.1782 · pith_short_12: RAA24IYUDM24 · pith_short_16: RAA24IYUDM247MRE · pith_short_8: RAA24IYU

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/RAA24IYUDM247MREEGYYQGRZW3 \
  | 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: 8801ae23141b35cfb22421b1881a39b6c23281c685a31f31f0f6afb5396adf88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71165a7c233ef5f6dfa8554d00e315a02281eeae6437fc3a74cb318d6c91ecaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-10T16:25:08Z",
    "title_canon_sha256": "d8f804c4830b0ec0d71802cfc3b97e181dfba001e84fe59ef2638800fc2308f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1782",
    "kind": "arxiv",
    "version": 3
  }
}