Pith Number

pith:KKLMPSER

pith:2014:KKLMPSERGCVHVOBVSMEYN5PVI4

not attested not anchored not stored refs pending

Down-up algebras defined over a polynomial base ring $\K[t_{1}, \cdots, t_{n}]$

Xin Tang

arxiv:1403.6539 v1 · 2014-03-26 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKLMPSERGCVHVOBVSMEYN5PVI4}

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	2026-05-18T02:55:28.670891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5296c7c89130aa7ab835930986f5f5471440260ac0db66de861c8bc59c1e63cf

Aliases

arxiv: 1403.6539 · arxiv_version: 1403.6539v1 · doi: 10.48550/arxiv.1403.6539 · pith_short_12: KKLMPSERGCVH · pith_short_16: KKLMPSERGCVHVOBV · pith_short_8: KKLMPSER

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/KKLMPSERGCVHVOBVSMEYN5PVI4 \
  | 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: 5296c7c89130aa7ab835930986f5f5471440260ac0db66de861c8bc59c1e63cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcf69a93cf221ee847d99b1ab15eef59cf5b027848ce49689c1c1fa14593abea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-03-26T00:21:06Z",
    "title_canon_sha256": "d934297ebe3d69b4acdb0de034fe51cfd238f1ab98b05aebbdd3326b43b0cf13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6539",
    "kind": "arxiv",
    "version": 1
  }
}