Pith Number

pith:Q64XL6L2

pith:2011:Q64XL6L2RMBPM3VCCIUVOOFS54

not attested not anchored not stored refs pending

The effective cone of the space of parametrized rational curves in a Grassmannian

Shin-Yao Jow

arxiv:1103.5154 v2 · 2011-03-26 · 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{Q64XL6L2RMBPM3VCCIUVOOFS54}

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	2026-05-18T04:10:34.310828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87b975f97a8b02f66ea212295738b2ef387fc21d8fe878c67edd4fd1ff4aeef9

Aliases

arxiv: 1103.5154 · arxiv_version: 1103.5154v2 · doi: 10.48550/arxiv.1103.5154 · pith_short_12: Q64XL6L2RMBP · pith_short_16: Q64XL6L2RMBPM3VC · pith_short_8: Q64XL6L2

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/Q64XL6L2RMBPM3VCCIUVOOFS54 \
  | 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: 87b975f97a8b02f66ea212295738b2ef387fc21d8fe878c67edd4fd1ff4aeef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43ae5dc1bbfb51087ad8224ffe699bc4968e29605a00bd6ee1790f4b29ffcd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-26T20:01:44Z",
    "title_canon_sha256": "ed636b1250f6a2be18006e0dcd1e2be4a4899f5e44b2d44d1a51b0865e816f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5154",
    "kind": "arxiv",
    "version": 2
  }
}