Pith Number

pith:OGB5PLUV

pith:2009:OGB5PLUVYP3YOOPW5M5ZTDPKDR

not attested not anchored not stored refs pending

Galois closure and Lagrangian varieties

Francesco Bastianelli, Gian Pietro Pirola, Lidia Stoppino

arxiv:0912.3377 v2 · 2009-12-17 · 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{OGB5PLUVYP3YOOPW5M5ZTDPKDR}

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	2026-05-18T02:41:17.427970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7183d7ae95c3f78739f6eb3b998dea1c6d631c27f96de75b85edd1b2b637392d

Aliases

arxiv: 0912.3377 · arxiv_version: 0912.3377v2 · doi: 10.48550/arxiv.0912.3377 · pith_short_12: OGB5PLUVYP3Y · pith_short_16: OGB5PLUVYP3YOOPW · pith_short_8: OGB5PLUV

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/OGB5PLUVYP3YOOPW5M5ZTDPKDR \
  | 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: 7183d7ae95c3f78739f6eb3b998dea1c6d631c27f96de75b85edd1b2b637392d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dace361393086ea87d4356efed27715a64a2bc4b965dbef8783d8196309e362a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-17T11:58:41Z",
    "title_canon_sha256": "221376acb867c54e9430cbaf49c457c1f5152552f139e262c2237a585d06e3fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3377",
    "kind": "arxiv",
    "version": 2
  }
}