Pith Number

pith:BYC2YOXC

pith:2010:BYC2YOXCXYN7E52VVGSUAUVIHJ

not attested not anchored not stored refs pending

Projections of Richardson Varieties

Allen Knutson, David E Speyer, Thomas Lam

arxiv:1008.3939 v2 · 2010-08-23 · 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{BYC2YOXCXYN7E52VVGSUAUVIHJ}

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	2026-05-18T04:14:18.177620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e05ac3ae2be1bf27755a9a54052a83a574f9d656acbd8ac87348fa3f64a5cc1

Aliases

arxiv: 1008.3939 · arxiv_version: 1008.3939v2 · doi: 10.48550/arxiv.1008.3939 · pith_short_12: BYC2YOXCXYN7 · pith_short_16: BYC2YOXCXYN7E52V · pith_short_8: BYC2YOXC

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/BYC2YOXCXYN7E52VVGSUAUVIHJ \
  | 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: 0e05ac3ae2be1bf27755a9a54052a83a574f9d656acbd8ac87348fa3f64a5cc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a2a87a769e131453ad7899fa9793c94da5eb9b1e5403ba77f15e5655d88f0b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-23T23:54:26Z",
    "title_canon_sha256": "a25eee0069f29a5373ec23b16b09e77a767acdce5338460df198e0d54ad350e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3939",
    "kind": "arxiv",
    "version": 2
  }
}