Pith Number

pith:P7SF64VD

pith:2026:P7SF64VD6JE25Y6OL22KZQXY2K

not attested not anchored not stored refs pending

Generalizing Lusztig's total positivity II : geometric properties

Anna Wienhard, Irma), Olivier Guichard (UNISTRA

arxiv:2606.10761 v1 · 2026-06-09 · math.DG · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7SF64VD6JE25Y6OL22KZQXY2K}

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	2026-06-10T01:10:39.180387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe45f72a3f249aee3ce5eb4acc2f8d29cb9acdeba0f808a9020d62dcc23da24

Aliases

arxiv: 2606.10761 · arxiv_version: 2606.10761v1 · doi: 10.48550/arxiv.2606.10761 · pith_short_12: P7SF64VD6JE2 · pith_short_16: P7SF64VD6JE25Y6O · pith_short_8: P7SF64VD

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/P7SF64VD6JE25Y6OL22KZQXY2K \
  | 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: 7fe45f72a3f249aee3ce5eb4acc2f8d29cb9acdeba0f808a9020d62dcc23da24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638e783fe7d8f270ac39ed24a4724e0d2d527eca27b2ef5598ae8ad739d4338c",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-09T12:14:26Z",
    "title_canon_sha256": "ab8bbc5f95b4f29b7ec83cd6a0268d4a846707967442827fee304b2d106a0035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10761",
    "kind": "arxiv",
    "version": 1
  }
}