Pith Number

pith:WX3JUK5W

pith:2007:WX3JUK5W47GU366S6YBS57AVI6

not attested not anchored not stored refs pending

The moduli space of cubic threefolds via degenerations of the intermediate Jacobian

Radu Laza, Sebastian Casalaina-Martin

arxiv:0710.5329 v2 · 2007-10-29 · 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{WX3JUK5W47GU366S6YBS57AVI6}

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	2026-05-18T04:00:01.554074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f69a2bb6e7cd4dfbd2f6032efc1547bb46b2de29dea64a01a053b91debf4d5

Aliases

arxiv: 0710.5329 · arxiv_version: 0710.5329v2 · doi: 10.48550/arxiv.0710.5329 · pith_short_12: WX3JUK5W47GU · pith_short_16: WX3JUK5W47GU366S · pith_short_8: WX3JUK5W

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/WX3JUK5W47GU366S6YBS57AVI6 \
  | 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: b5f69a2bb6e7cd4dfbd2f6032efc1547bb46b2de29dea64a01a053b91debf4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fd7f981767068526d0d8072b1454c829d79cefc2aa87861210f7622853164f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-29T15:34:02Z",
    "title_canon_sha256": "10110526c1e5f9c7f3cc94ef176e60119ed55c7b0270de04a150fef427cf38ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5329",
    "kind": "arxiv",
    "version": 2
  }
}