Pith Number

pith:UXYTXIOW

pith:2014:UXYTXIOWGEY6DBPQDUW3TUYXNG

not attested not anchored not stored refs pending

$\W_n^+$- and $W_n$-module structures on $U(h)$

Haijun Tan, Kaiming Zhao

arxiv:1401.1120 v2 · 2014-01-06 · math.RT · 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{UXYTXIOWGEY6DBPQDUW3TUYXNG}

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	2026-05-18T02:27:08.075148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5f13ba1d63131e185f01d2db9d317699561cf860b4efd1349cacdb427dddf28

Aliases

arxiv: 1401.1120 · arxiv_version: 1401.1120v2 · doi: 10.48550/arxiv.1401.1120 · pith_short_12: UXYTXIOWGEY6 · pith_short_16: UXYTXIOWGEY6DBPQ · pith_short_8: UXYTXIOW

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/UXYTXIOWGEY6DBPQDUW3TUYXNG \
  | 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: a5f13ba1d63131e185f01d2db9d317699561cf860b4efd1349cacdb427dddf28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7677c4e5f9979e0c366f082f6b45b2188caf01bb365719ba17752b15b783769e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-01-06T15:44:33Z",
    "title_canon_sha256": "89d9e10c52e4d0d7c482c0213359eab88acd422f1baa96c3aa341b3509c67e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1120",
    "kind": "arxiv",
    "version": 2
  }
}