Pith Number

pith:XHNFZSKM

pith:2022:XHNFZSKMZBAMWIY6B6XIUXS744

not attested not anchored not stored refs pending

Dirac series of $\mathrm{GL}(n)$ over an Archimedean field

Hongfeng Zhang, Yihao Ding

arxiv:2208.09903 v2 · 2022-08-21 · 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{XHNFZSKMZBAMWIY6B6XIUXS744}

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	2026-07-05T11:27:16.763186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9da5cc94cc840cb231e0fae8a5e5fe701ab41fc5ac6e64a877ff39ac20f0326

Aliases

arxiv: 2208.09903 · arxiv_version: 2208.09903v2 · doi: 10.48550/arxiv.2208.09903 · pith_short_12: XHNFZSKMZBAM · pith_short_16: XHNFZSKMZBAMWIY6 · pith_short_8: XHNFZSKM

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/XHNFZSKMZBAMWIY6B6XIUXS744 \
  | 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: b9da5cc94cc840cb231e0fae8a5e5fe701ab41fc5ac6e64a877ff39ac20f0326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b896e6e2d0b6153e2dcb614df68e1f433ed4041c2e82d08296d5bb401745eb4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-08-21T15:09:49Z",
    "title_canon_sha256": "a83ea78accf0cccb4fb40c98fe9bb8810117a9302a083f9e1a6221e1c3858dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.09903",
    "kind": "arxiv",
    "version": 2
  }
}