Pith Number

pith:GNLSV6XP

pith:2011:GNLSV6XP27STOABW5R2EOYBRCC

not attested not anchored not stored refs pending

Projected Richardson varieties and affine Schubert varieties

Thomas Lam, Xuhua He

arxiv:1106.2586 v3 · 2011-06-14 · 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{GNLSV6XP27STOABW5R2EOYBRCC}

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	2026-05-18T02:27:50.200047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33572afaefd7e5370036ec7447603110b6e478e5dd0de823c160f901c7e0c1c2

Aliases

arxiv: 1106.2586 · arxiv_version: 1106.2586v3 · doi: 10.48550/arxiv.1106.2586 · pith_short_12: GNLSV6XP27ST · pith_short_16: GNLSV6XP27STOABW · pith_short_8: GNLSV6XP

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/GNLSV6XP27STOABW5R2EOYBRCC \
  | 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: 33572afaefd7e5370036ec7447603110b6e478e5dd0de823c160f901c7e0c1c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0680e826effbb69cecdae2f752de5b753fc011446217895886564627a3766722",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-14T00:45:06Z",
    "title_canon_sha256": "d9c4a1c49bc9ce560a719577e0f417ded43decc677c48736afcc2af212580662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2586",
    "kind": "arxiv",
    "version": 3
  }
}