Pith Number

pith:3PPS6O4U

pith:2010:3PPS6O4UJO62T6CRHXQ5TMXUCE

not attested not anchored not stored refs pending

On a spectral analogue of the strong multiplicity one theorem

Chandrasheel Bhagwat, C.S. Rajan

arxiv:1009.0694 v1 · 2010-09-03 · 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{3PPS6O4UJO62T6CRHXQ5TMXUCE}

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	2026-05-18T04:41:25.631251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbdf2f3b944bbda9f8513de1d9b2f41102601495082bff45275774a9562ae139

Aliases

arxiv: 1009.0694 · arxiv_version: 1009.0694v1 · doi: 10.48550/arxiv.1009.0694 · pith_short_12: 3PPS6O4UJO62 · pith_short_16: 3PPS6O4UJO62T6CR · pith_short_8: 3PPS6O4U

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/3PPS6O4UJO62T6CRHXQ5TMXUCE \
  | 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: dbdf2f3b944bbda9f8513de1d9b2f41102601495082bff45275774a9562ae139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6e75ab9bf73464cb4d9729699a4fbebba480ddfa8d5b2d541bf180b5485db0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-03T15:07:57Z",
    "title_canon_sha256": "25e52fa88009f748563e5a1504cc73065720273b547082aabc40c9dbec77eea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0694",
    "kind": "arxiv",
    "version": 1
  }
}