Pith Number

pith:P4XTNVP7

pith:2005:P4XTNVP7VSGLB57TPBRX47FGY6

not attested not anchored not stored refs pending

Intersections of Schubert varieties and other permutation array schemes

Ravi Vakil, Sara Billey

arxiv:math/0502468 v1 · 2005-02-22 · math.AG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4XTNVP7VSGLB57TPBRX47FGY6}

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	2026-07-04T15:52:41.889620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2f36d5ffac8cb0f7f378637e7ca6c7944cec1cdb5d520c93679766ec492130

Aliases

arxiv: math/0502468 · arxiv_version: math/0502468v1 · doi: 10.48550/arxiv.math/0502468 · pith_short_12: P4XTNVP7VSGL · pith_short_16: P4XTNVP7VSGLB57T · pith_short_8: P4XTNVP7

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/P4XTNVP7VSGLB57TPBRX47FGY6 \
  | 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: 7f2f36d5ffac8cb0f7f378637e7ca6c7944cec1cdb5d520c93679766ec492130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b498ce635d26459478d758c713d4f55588abca6be594cf011ce992c48f4b7c16",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-02-22T23:28:42Z",
    "title_canon_sha256": "715ffad63b90bb64ac67f71505c1be90269b7aacb54cc41af667e3506fde18bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502468",
    "kind": "arxiv",
    "version": 1
  }
}