Pith Number

pith:5GQZTCHL

pith:2015:5GQZTCHL22LFXVYGW5IXN2VMQD

not attested not anchored not stored refs pending

Generalized cluster structure on the Drinfeld double of $GL_n$

Alek Vainshtein, Michael Gekhtman, Michael Shapiro

arxiv:1507.00452 v2 · 2015-07-02 · 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{5GQZTCHL22LFXVYGW5IXN2VMQD}

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	2026-05-18T00:32:15.433620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a19988ebd6965bd706b75176eaac80f02ef127d69baa5da06c36b12e768f65

Aliases

arxiv: 1507.00452 · arxiv_version: 1507.00452v2 · doi: 10.48550/arxiv.1507.00452 · pith_short_12: 5GQZTCHL22LF · pith_short_16: 5GQZTCHL22LFXVYG · pith_short_8: 5GQZTCHL

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/5GQZTCHL22LFXVYGW5IXN2VMQD \
  | 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: e9a19988ebd6965bd706b75176eaac80f02ef127d69baa5da06c36b12e768f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39162476ba3e27703646914039282ba03f597b1fc65466284995278823a312ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-07-02T07:28:36Z",
    "title_canon_sha256": "51a7300b28a272810c603398666fee95187e0288efb6e61baa98f7ee7667dae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00452",
    "kind": "arxiv",
    "version": 2
  }
}