Pith Number

pith:SNQKWHIV

pith:2007:SNQKWHIVQ5OMNM7FEBSVSMRPOY

not attested not anchored not stored refs pending

On function spaces on symmetric spaces

Bernhard Kr\"otz, Henrik Schlichtkrull

arxiv:0711.1087 v1 · 2007-11-07 · 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{SNQKWHIVQ5OMNM7FEBSVSMRPOY}

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	2026-05-18T00:29:49.703395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9360ab1d15875cc6b3e5206559322f762641c11fe67bc562847fe7fea0672399

Aliases

arxiv: 0711.1087 · arxiv_version: 0711.1087v1 · doi: 10.48550/arxiv.0711.1087 · pith_short_12: SNQKWHIVQ5OM · pith_short_16: SNQKWHIVQ5OMNM7F · pith_short_8: SNQKWHIV

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/SNQKWHIVQ5OMNM7FEBSVSMRPOY \
  | 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: 9360ab1d15875cc6b3e5206559322f762641c11fe67bc562847fe7fea0672399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ddb84da697b160284e2e110fd3e562edf9ac5bd8f64012c5c19782370f7193",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-11-07T13:37:39Z",
    "title_canon_sha256": "62c990ac36a21de9cbe852a9c0e5839324573246d123ea98a055090a8b049c5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1087",
    "kind": "arxiv",
    "version": 1
  }
}