Pith Number

pith:N4HRTBT2

pith:2012:N4HRTBT2NPELWFCHONN2QEKDPK

not attested not anchored not stored refs pending

Superpotentials, Calabi-Yau algebras, and PBW deformations

Joseph Karmazyn

arxiv:1210.1341 v1 · 2012-10-04 · math.RT · 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{N4HRTBT2NPELWFCHONN2QEKDPK}

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	2026-05-18T03:44:03.859194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0f19867a6bc8bb1447735ba811437a85724d127f983f3da9b93b420b20dd85

Aliases

arxiv: 1210.1341 · arxiv_version: 1210.1341v1 · doi: 10.48550/arxiv.1210.1341 · pith_short_12: N4HRTBT2NPEL · pith_short_16: N4HRTBT2NPELWFCH · pith_short_8: N4HRTBT2

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/N4HRTBT2NPELWFCHONN2QEKDPK \
  | 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: 6f0f19867a6bc8bb1447735ba811437a85724d127f983f3da9b93b420b20dd85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1936fafca59308202008aec66fd93108daab3d9309207b41415c12d66596fd5e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-04T08:55:00Z",
    "title_canon_sha256": "1d096eabbf6a251c3152c2da7fcb24ab3693b04d80ce4e99eedca304b18d02a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1341",
    "kind": "arxiv",
    "version": 1
  }
}