Pith Number

pith:VSSURQXG

pith:2020:VSSURQXGZXCW6RIRQGKMDIMONR

not attested not anchored not stored refs pending

Minimum Quantum Degrees for Isotropic Grassmannians in Types B and C

Camron Withrow, Ryan M. Shifler

arxiv:2004.00084 v4 · 2020-03-31 · 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{VSSURQXGZXCW6RIRQGKMDIMONR}

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	2026-07-05T04:05:09.417094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca548c2e6cdc56f45118194c1a18e6c7eafe7fb66b17f1701cbe1d93c9a8d2e

Aliases

arxiv: 2004.00084 · arxiv_version: 2004.00084v4 · doi: 10.48550/arxiv.2004.00084 · pith_short_12: VSSURQXGZXCW · pith_short_16: VSSURQXGZXCW6RIR · pith_short_8: VSSURQXG

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/VSSURQXGZXCW6RIRQGKMDIMONR \
  | 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: aca548c2e6cdc56f45118194c1a18e6c7eafe7fb66b17f1701cbe1d93c9a8d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8efd4fd278bbab835ebdd39c6330546f9759663c41ebd44c93e5bcb20fe59e7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-03-31T20:07:15Z",
    "title_canon_sha256": "e53fcfc3659c9a447c39bf2eeb5c5b026764da3d5e7134a095f44d0cbbf9cbec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.00084",
    "kind": "arxiv",
    "version": 4
  }
}