Pith Number

pith:DP7XZ6ZC

pith:2014:DP7XZ6ZCVPJ7BYKPPGMYYXHTNM

not attested not anchored not stored refs pending

PGL(2) actions on Grassmannians and projective construction of rational curves with given restricted tangent bundle

Alberto Alzati, Riccardo Re

arxiv:1405.2753 v1 · 2014-05-12 · 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{DP7XZ6ZCVPJ7BYKPPGMYYXHTNM}

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	2026-05-18T02:52:04.838638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bff7cfb22abd3f0e14f79998c5cf36b22bd0974cd8bf280fe048ceb8860e1ac

Aliases

arxiv: 1405.2753 · arxiv_version: 1405.2753v1 · doi: 10.48550/arxiv.1405.2753 · pith_short_12: DP7XZ6ZCVPJ7 · pith_short_16: DP7XZ6ZCVPJ7BYKP · pith_short_8: DP7XZ6ZC

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/DP7XZ6ZCVPJ7BYKPPGMYYXHTNM \
  | 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: 1bff7cfb22abd3f0e14f79998c5cf36b22bd0974cd8bf280fe048ceb8860e1ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f413699a4f8da2d4b291a94158efc75f22f92f37f3b0e4b649fdf0f5dedb9a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-12T13:42:46Z",
    "title_canon_sha256": "f1cc02fddb2a30325c44249369c43c61f4bf1d767777d96351a4265ce05494e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2753",
    "kind": "arxiv",
    "version": 1
  }
}