Pith Number

pith:GALIY5OZ

pith:2019:GALIY5OZGCAG6OFKNTS2JP7T4Q

not attested not anchored not stored refs pending

Quantum toric degeneration of quantum flag and Schubert varieties

Laurent Rigal, Pablo Zadunaisky

arxiv:1902.07675 v1 · 2019-02-20 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GALIY5OZGCAG6OFKNTS2JP7T4Q}

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	2026-05-17T23:53:07.151748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30168c75d930806f38aa6ce5a4bff3e427c3449c0aa78bbb01ec3eec8ec00f9c

Aliases

arxiv: 1902.07675 · arxiv_version: 1902.07675v1 · doi: 10.48550/arxiv.1902.07675 · pith_short_12: GALIY5OZGCAG · pith_short_16: GALIY5OZGCAG6OFK · pith_short_8: GALIY5OZ

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/GALIY5OZGCAG6OFKNTS2JP7T4Q \
  | 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: 30168c75d930806f38aa6ce5a4bff3e427c3449c0aa78bbb01ec3eec8ec00f9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d8406fec4e61f11704b4bba6dc28386653cc1a968d46e4f185654e9a5eb4610",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-02-20T17:45:39Z",
    "title_canon_sha256": "36181da09cc7e69950443101a64c0b18bacb3f2a5af04a07cf18b48cd6a507ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07675",
    "kind": "arxiv",
    "version": 1
  }
}