Pith Number

pith:THF4M2U2

pith:2015:THF4M2U2U4GRFXWADKHR7YJJSW

not attested not anchored not stored refs pending

Invariant Differential Operators for Non-Compact Lie Groups: the $SO^*(12)$ Case

V.K. Dobrev

arxiv:1504.04204 v2 · 2015-04-16 · 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{THF4M2U2U4GRFXWADKHR7YJJSW}

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	2026-05-18T01:29:21.134090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99cbc66a9aa70d12dec01a8f1fe1299596cb64b6ae24be8868127ba1bdee6426

Aliases

arxiv: 1504.04204 · arxiv_version: 1504.04204v2 · doi: 10.48550/arxiv.1504.04204 · pith_short_12: THF4M2U2U4GR · pith_short_16: THF4M2U2U4GRFXWA · pith_short_8: THF4M2U2

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/THF4M2U2U4GRFXWADKHR7YJJSW \
  | 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: 99cbc66a9aa70d12dec01a8f1fe1299596cb64b6ae24be8868127ba1bdee6426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9c341fadeaaecc71ee36410f6f5e89c15bf0716d4c1e5bd8ef1aeb551ee9ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-04-16T12:27:29Z",
    "title_canon_sha256": "0763c25bbaf7001730fba8619408d7a38747642e7093dcc40c1a530f46d2729f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04204",
    "kind": "arxiv",
    "version": 2
  }
}