Pith Number

pith:XQQQ2X66

pith:2015:XQQQ2X66KKT5TSRYXOL6X6A7OW

not attested not anchored not stored refs pending

The Segal--Bargmann transform for odd-dimensional hyperbolic spaces

Brian C. Hall, Jeffrey J. Mitchell

arxiv:1507.03569 v2 · 2015-07-13 · math-ph · math.DG · math.MP · 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{XQQQ2X66KKT5TSRYXOL6X6A7OW}

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	2026-05-18T01:34:41.597891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc210d5fde52a7d9ca38bb97ebf81f758a61b78e0fe30a9d64b30e219acb8870

Aliases

arxiv: 1507.03569 · arxiv_version: 1507.03569v2 · doi: 10.48550/arxiv.1507.03569 · pith_short_12: XQQQ2X66KKT5 · pith_short_16: XQQQ2X66KKT5TSRY · pith_short_8: XQQQ2X66

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/XQQQ2X66KKT5TSRYXOL6X6A7OW \
  | 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: bc210d5fde52a7d9ca38bb97ebf81f758a61b78e0fe30a9d64b30e219acb8870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d7706548be336249d51bfb45b666d909ac9bbecd8669d9055f9e7ee986e0cf",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-13T19:47:51Z",
    "title_canon_sha256": "af0c5a919d87ed489268a58ed6c0db720a53490b3ee162416eeadb2cfd164aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03569",
    "kind": "arxiv",
    "version": 2
  }
}