Pith Number

pith:NOADP425

pith:2000:NOADP425I7VV5USXFJ4XNE4PRJ

not attested not anchored not stored refs pending

Degenerations of Schubert varieties of SL(n)/B to toric varities

R. Dehy, R. Yu

arxiv:math/0012124 v1 · 2000-12-15 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOADP425I7VV5USXFJ4XNE4PRJ}

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	2026-07-04T14:34:58.972574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b8037f35d47eb5ed2572a7976938f8a5227ddb57729356720827fc1c21d5265

Aliases

arxiv: math/0012124 · arxiv_version: math/0012124v1 · doi: 10.48550/arxiv.math/0012124 · pith_short_12: NOADP425I7VV · pith_short_16: NOADP425I7VV5USX · pith_short_8: NOADP425

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/NOADP425I7VV5USXFJ4XNE4PRJ \
  | 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: 6b8037f35d47eb5ed2572a7976938f8a5227ddb57729356720827fc1c21d5265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b3bdb681fa8bdd39a3cf41c7046d9bea2e465a092059bb3745f6e7f153b0a28",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2000-12-15T11:23:21Z",
    "title_canon_sha256": "b01d4232654d1fa19ade607842e86aee556f507433215b2ece72628a14876173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012124",
    "kind": "arxiv",
    "version": 1
  }
}