Pith Number

pith:4UP62GDP

pith:1998:4UP62GDPIPP7N3JW7JRYMBPWKV

not attested not anchored not stored refs pending

Grassmannian of $k((z))$: Picard Group, Equations and Automorphisms

Francisco J. Plaza Mart\'in

arxiv:math/9801138 v1 · 1998-01-30 · 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{4UP62GDPIPP7N3JW7JRYMBPWKV}

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	2026-05-18T01:09:15.211748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e51fed186f43dff6ed36fa638605f65561180c3ec530ec892e3a1e6d772baa34

Aliases

arxiv: math/9801138 · arxiv_version: math/9801138v1 · doi: 10.48550/arxiv.math/9801138 · pith_short_12: 4UP62GDPIPP7 · pith_short_16: 4UP62GDPIPP7N3JW · pith_short_8: 4UP62GDP

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/4UP62GDPIPP7N3JW7JRYMBPWKV \
  | 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: e51fed186f43dff6ed36fa638605f65561180c3ec530ec892e3a1e6d772baa34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "154a345742e88bfe8b543cb4158e46965ed5f307f87efcf938ba8c7542d10930",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-01-30T09:52:31Z",
    "title_canon_sha256": "597bf72aec3ec36ead62fb0d31b6a3e3ccb7c9cbae1ecee51099bea2f7deb7cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9801138",
    "kind": "arxiv",
    "version": 1
  }
}