Pith Number

pith:WFDGX4NK

pith:2016:WFDGX4NKO4BNED6ETK3MHPONPJ

not attested not anchored not stored refs pending

Quiver varieties and crystals in symmetrizable type via modulated graphs

Peter Tingley, Vinoth Nandakumar

arxiv:1606.01876 v2 · 2016-06-06 · math.QA · 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{WFDGX4NKO4BNED6ETK3MHPONPJ}

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	2026-05-18T00:50:40.109622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1466bf1aa7702d20fc49ab6c3bdcd7a494844e5a292d453c3b5a36e56e9027e

Aliases

arxiv: 1606.01876 · arxiv_version: 1606.01876v2 · doi: 10.48550/arxiv.1606.01876 · pith_short_12: WFDGX4NKO4BN · pith_short_16: WFDGX4NKO4BNED6E · pith_short_8: WFDGX4NK

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/WFDGX4NKO4BNED6ETK3MHPONPJ \
  | 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: b1466bf1aa7702d20fc49ab6c3bdcd7a494844e5a292d453c3b5a36e56e9027e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23dfba7ad203c982c3358f97c57692f20e55618c96b023a297e652bf7b3b0341",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-06-06T19:33:31Z",
    "title_canon_sha256": "3cbee41f79c9522626c50044ed29a22945163f2762a1cda2083736770408e772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01876",
    "kind": "arxiv",
    "version": 2
  }
}