Pith Number

pith:W5AAFKEN

pith:2019:W5AAFKENIHDCQ7GFURGRLQTEKD

not attested not anchored not stored refs pending

Geometric and algebraic parameterizations for Dirac cohomology of simple modules in $\mathcal{O}^\mathfrak{p}$ and their applications

Ho-Man Cheung

arxiv:1907.09069 v1 · 2019-07-22 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5AAFKENIHDCQ7GFURGRLQTEKD}

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	2026-05-17T23:40:00.282930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b74002a88d41c6287cc5a44d15c26450e4d5d7e29cc3313620482b97b7565c67

Aliases

arxiv: 1907.09069 · arxiv_version: 1907.09069v1 · doi: 10.48550/arxiv.1907.09069 · pith_short_12: W5AAFKENIHDC · pith_short_16: W5AAFKENIHDCQ7GF · pith_short_8: W5AAFKEN

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/W5AAFKENIHDCQ7GFURGRLQTEKD \
  | 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: b74002a88d41c6287cc5a44d15c26450e4d5d7e29cc3313620482b97b7565c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f3430f159369543ca20628ca4c0464ac2ee0378029148cb018caf80017e490",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-07-22T01:11:41Z",
    "title_canon_sha256": "c11749ca3fa50fa0a3636f6c987c78de95b33b4a7dbc84dae3eefff5f86e6262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09069",
    "kind": "arxiv",
    "version": 1
  }
}