Pith Number

pith:Y3TBTVYM

pith:2018:Y3TBTVYMTMTA22QMJ54ALDESGP

not attested not anchored not stored refs pending

Hyperbolic spaces, principal series and ${\rm O}(2,\infty)$

Arturo S\'anchez, Pierre Py

arxiv:1812.03782 v1 · 2018-12-10 · math.GR · 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{Y3TBTVYMTMTA22QMJ54ALDESGP}

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	2026-07-05T00:33:10.200280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e619d70c9b260d6a0c4f78058c9233e6905504e50e3956c2baa1f472bb4e4f

Aliases

arxiv: 1812.03782 · arxiv_version: 1812.03782v1 · doi: 10.48550/arxiv.1812.03782 · pith_short_12: Y3TBTVYMTMTA · pith_short_16: Y3TBTVYMTMTA22QM · pith_short_8: Y3TBTVYM

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/Y3TBTVYMTMTA22QMJ54ALDESGP \
  | 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: c6e619d70c9b260d6a0c4f78058c9233e6905504e50e3956c2baa1f472bb4e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37174efbdf9fe46649f5415347985352332b7033c6fc092bdc9031bf9f416507",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-12-10T13:36:25Z",
    "title_canon_sha256": "d44fd385f01b0458f8af600f14a5a2db82fdc369cac4f2e97c94f1d4459a4a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03782",
    "kind": "arxiv",
    "version": 1
  }
}