Pith Number

pith:KWRRTG2Z

pith:2019:KWRRTG2ZLSOF4QTDM62ONYMXKW

not attested not anchored not stored refs pending

On the Quot scheme $\mathrm{Quot}_{\mathcal O_{\mathbb P^1}^r/\mathbb P^1/k}^d$

Cristina Bertone, Margherita Roggero, Steven L. Kleiman

arxiv:1906.01953 v1 · 2019-06-05 · 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{KWRRTG2ZLSOF4QTDM62ONYMXKW}

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	2026-05-17T23:44:05.654968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55a3199b595c9c5e426367b4e6e1975581e01304dbfe2731fd1476408e7ef695

Aliases

arxiv: 1906.01953 · arxiv_version: 1906.01953v1 · doi: 10.48550/arxiv.1906.01953 · pith_short_12: KWRRTG2ZLSOF · pith_short_16: KWRRTG2ZLSOF4QTD · pith_short_8: KWRRTG2Z

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/KWRRTG2ZLSOF4QTDM62ONYMXKW \
  | 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: 55a3199b595c9c5e426367b4e6e1975581e01304dbfe2731fd1476408e7ef695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efced82236f1289e65830019c94503b13667ec22d38d8ab57b69bbbc7b6d313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-05T11:35:36Z",
    "title_canon_sha256": "137a15bcc3e943b26db5c228c5088aa8d49772658e0326d2297c5fab8fd7a172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01953",
    "kind": "arxiv",
    "version": 1
  }
}