Pith Number

pith:4DFA77DV

pith:2010:4DFA77DVT5M6EQS7JRYU3JAH4X

not attested not anchored not stored refs pending

Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials

Gestur Olafsson, Joseph A. Wolf

arxiv:1012.0550 v1 · 2010-12-02 · 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{4DFA77DVT5M6EQS7JRYU3JAH4X}

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	2026-05-18T04:34:09.710195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ca0ffc759f59e2425f4c714da407e5e09d3f9fed6750a178c3d313a1b50a20

Aliases

arxiv: 1012.0550 · arxiv_version: 1012.0550v1 · doi: 10.48550/arxiv.1012.0550 · pith_short_12: 4DFA77DVT5M6 · pith_short_16: 4DFA77DVT5M6EQS7 · pith_short_8: 4DFA77DV

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/4DFA77DVT5M6EQS7JRYU3JAH4X \
  | 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: e0ca0ffc759f59e2425f4c714da407e5e09d3f9fed6750a178c3d313a1b50a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4659dfceffdb356f8ce522fc86f0a289095cb32995e5d321b8af602f177791ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-02T19:46:15Z",
    "title_canon_sha256": "7a7f116a2009b4113bd18cae85ed7c3d523a2db4420935f9b73b9eaf7f9a6ec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0550",
    "kind": "arxiv",
    "version": 1
  }
}