Pith Number

pith:WRMZM52E

pith:2019:WRMZM52ESSMZMA45626O4WU6QA

not attested not anchored not stored refs pending

The mirror of the cubic surface

Bernd Siebert, Mark Gross, Paul Hacking, Sean Keel

arxiv:1910.08427 v1 · 2019-10-18 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRMZM52ESSMZMA45626O4WU6QA}

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	2026-07-05T00:13:08.980182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b459967744949996039df6bcee5a9e80125c78740b17ca3b27cdce2c21e3c3cf

Aliases

arxiv: 1910.08427 · arxiv_version: 1910.08427v1 · doi: 10.48550/arxiv.1910.08427 · pith_short_12: WRMZM52ESSMZ · pith_short_16: WRMZM52ESSMZMA45 · pith_short_8: WRMZM52E

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/WRMZM52ESSMZMA45626O4WU6QA \
  | 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: b459967744949996039df6bcee5a9e80125c78740b17ca3b27cdce2c21e3c3cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0897408b467e575d7e0c5e92b17e706976e2a510cf9415ae8cdc91ca509b5c9d",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-10-18T14:02:30Z",
    "title_canon_sha256": "40a107c7b15ddfdbb6d473f576f9a023b5317c09b4aa97318e2fe5611983a869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08427",
    "kind": "arxiv",
    "version": 1
  }
}