Pith Number

pith:AKPCUIDQ

pith:2015:AKPCUIDQB6XWMRMGQ4HCQ2RCY4

not attested not anchored not stored refs pending

KP hierarchy for the cyclic quiver

Alexey Silantyev, Oleg Chalykh

arxiv:1512.08551 v1 · 2015-12-28 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKPCUIDQB6XWMRMGQ4HCQ2RCY4}

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	2026-05-18T00:19:14.379805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

029e2a20700faf664586870e286a22c71f50711c0c2395f75294091f594390f0

Aliases

arxiv: 1512.08551 · arxiv_version: 1512.08551v1 · doi: 10.48550/arxiv.1512.08551 · pith_short_12: AKPCUIDQB6XW · pith_short_16: AKPCUIDQB6XWMRMG · pith_short_8: AKPCUIDQ

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/AKPCUIDQB6XWMRMGQ4HCQ2RCY4 \
  | 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: 029e2a20700faf664586870e286a22c71f50711c0c2395f75294091f594390f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689064f912bc1b6deffe6fb2f0a4d8eb7171f3cca4dce5f80cfac888bfce6dca",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-12-28T23:02:23Z",
    "title_canon_sha256": "bc178a595dfff579d34ae4987d929de93b09ed8512cb88210a836c221f4ccaa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08551",
    "kind": "arxiv",
    "version": 1
  }
}