Pith Number

pith:AOB2PD7R

pith:2012:AOB2PD7RJNZFYZM7DVL5YPNU6C

not attested not anchored not stored refs pending

Representation equivalence and p-Spectrum of constant curvature space forms

Emilio A. Lauret, Juan Pablo Rossetti, Roberto J. Miatello

arxiv:1209.4916 v1 · 2012-09-21 · math.SP · math.DG · 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{AOB2PD7RJNZFYZM7DVL5YPNU6C}

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	2026-05-18T01:23:52.471229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0383a78ff14b725c659f1d57dc3db4f0b2317d66b2f65f6e1661afa64be9bf43

Aliases

arxiv: 1209.4916 · arxiv_version: 1209.4916v1 · doi: 10.48550/arxiv.1209.4916 · pith_short_12: AOB2PD7RJNZF · pith_short_16: AOB2PD7RJNZFYZM7 · pith_short_8: AOB2PD7R

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/AOB2PD7RJNZFYZM7DVL5YPNU6C \
  | 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: 0383a78ff14b725c659f1d57dc3db4f0b2317d66b2f65f6e1661afa64be9bf43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b976546f4a685b327a142e8f01c66a96b7dfc61b07c5a51ee789ee7cebdfe04",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-09-21T20:39:56Z",
    "title_canon_sha256": "0c6167db0666b69d8bc6ccca626c73d454d3fbcedc6d81aeed8f463796b3366b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4916",
    "kind": "arxiv",
    "version": 1
  }
}