Pith Number

pith:QKYNUZVR

pith:2014:QKYNUZVRUP33TGMI2S45UJP5BU

not attested not anchored not stored refs pending

Demazure roots and spherical varieties: the example of horizontal SL(2)-actions

Alexander Perepechko, Kevin Langlois

arxiv:1406.5744 v2 · 2014-06-22 · 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{QKYNUZVRUP33TGMI2S45UJP5BU}

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	2026-05-18T01:24:04.303480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b0da66b1a3f7b99988d4b9da25fd0d174f7252c9f3a7d95ca579cbd27d8033

Aliases

arxiv: 1406.5744 · arxiv_version: 1406.5744v2 · doi: 10.48550/arxiv.1406.5744 · pith_short_12: QKYNUZVRUP33 · pith_short_16: QKYNUZVRUP33TGMI · pith_short_8: QKYNUZVR

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/QKYNUZVRUP33TGMI2S45UJP5BU \
  | 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: 82b0da66b1a3f7b99988d4b9da25fd0d174f7252c9f3a7d95ca579cbd27d8033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305645a2808adcc67dd894720978752b66132a6d4d7b646989d46d72e616f94f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-06-22T17:52:39Z",
    "title_canon_sha256": "00aed4d868194bcc3f31fb92993f112c46eccd8f23d01476ff46b4f2efc2b731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5744",
    "kind": "arxiv",
    "version": 2
  }
}