Pith Number

pith:TTXCXGCH

pith:2016:TTXCXGCH22TKIEHPUMQAWA5DHD

not attested not anchored not stored refs pending

Reductive groups, the loop Grassmannian, and the Springer resolution

Pramod N. Achar, Simon Riche

arxiv:1602.04412 v3 · 2016-02-14 · 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{TTXCXGCH22TKIEHPUMQAWA5DHD}

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	2026-05-18T00:18:41.776307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cee2b9847d6a6a410efa3200b03a338f2805b3d32eb7671a31ed09b79932c33

Aliases

arxiv: 1602.04412 · arxiv_version: 1602.04412v3 · doi: 10.48550/arxiv.1602.04412 · pith_short_12: TTXCXGCH22TK · pith_short_16: TTXCXGCH22TKIEHP · pith_short_8: TTXCXGCH

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/TTXCXGCH22TKIEHPUMQAWA5DHD \
  | 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: 9cee2b9847d6a6a410efa3200b03a338f2805b3d32eb7671a31ed09b79932c33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e3229697092b7fa733a6ec805c53ae143e3a0e24786cfbee0fab53c892aca3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-02-14T03:58:05Z",
    "title_canon_sha256": "186ff26639f7d818d3369a641ba66a51111952858de998f9f31c3e5a0749ab35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04412",
    "kind": "arxiv",
    "version": 3
  }
}