Pith Number

pith:KBWHUT4X

pith:2012:KBWHUT4X4PHMQJVCPSRFZMNW7L

not attested not anchored not stored refs pending

Every projective variety is a quiver Grassmannian

Markus Reineke

arxiv:1204.5730 v1 · 2012-04-25 · 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{KBWHUT4X4PHMQJVCPSRFZMNW7L}

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	2026-05-18T03:57:01.506860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506c7a4f97e3cec826a27ca25cb1b6facadbc2a4f764c00b413af3e42798c1c9

Aliases

arxiv: 1204.5730 · arxiv_version: 1204.5730v1 · doi: 10.48550/arxiv.1204.5730 · pith_short_12: KBWHUT4X4PHM · pith_short_16: KBWHUT4X4PHMQJVC · pith_short_8: KBWHUT4X

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/KBWHUT4X4PHMQJVCPSRFZMNW7L \
  | 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: 506c7a4f97e3cec826a27ca25cb1b6facadbc2a4f764c00b413af3e42798c1c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2877a0fae1cf52a122a17b442e8ada70676374d626edafe7ab3565be1c61141",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-25T19:15:51Z",
    "title_canon_sha256": "72b733c416388c532754160e49e9f8038edf99596774539e7397784f8d5d769b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5730",
    "kind": "arxiv",
    "version": 1
  }
}