Pith Number

pith:GPND7TN4

pith:2011:GPND7TN44OAHRMFZOBGSOGGNG2

not attested not anchored not stored refs pending

Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

Natalia Gorfinkel, Roman Avdeev

arxiv:1106.1070 v2 · 2011-06-06 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPND7TN44OAHRMFZOBGSOGGNG2}

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	2026-05-18T03:45:23.303098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33da3fcdbce38078b0b9704d2718cd36a88892cadb53af4994b06be42002845c

Aliases

arxiv: 1106.1070 · arxiv_version: 1106.1070v2 · doi: 10.48550/arxiv.1106.1070 · pith_short_12: GPND7TN44OAH · pith_short_16: GPND7TN44OAHRMFZ · pith_short_8: GPND7TN4

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/GPND7TN44OAHRMFZOBGSOGGNG2 \
  | 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: 33da3fcdbce38078b0b9704d2718cd36a88892cadb53af4994b06be42002845c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "840015ed2108bc482c162b367a0170eca38ccce8ab7f8452a193d46531ba0ac7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-06-06T14:03:23Z",
    "title_canon_sha256": "b876afb9715e30bd3d556a4e5b2b5b0eebde87223263a25319cea9a3e2999fe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1070",
    "kind": "arxiv",
    "version": 2
  }
}