Pith Number

pith:3GLOSZVI

pith:2015:3GLOSZVIHUPO6HALH3KJTX3FA7

not attested not anchored not stored refs pending

Local spectral gap in simple Lie groups and applications

Adrian Ioana, Alireza Salehi Golsefidy, R\'emi Boutonnet

arxiv:1503.06473 v3 · 2015-03-22 · math.GR · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GLOSZVIHUPO6HALH3KJTX3FA7}

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	2026-05-18T01:10:18.459296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d996e966a83d1eef1c0b3ed499df6507c5b5be3b95d2fca6fdaae4e76df6f206

Aliases

arxiv: 1503.06473 · arxiv_version: 1503.06473v3 · doi: 10.48550/arxiv.1503.06473 · pith_short_12: 3GLOSZVIHUPO · pith_short_16: 3GLOSZVIHUPO6HAL · pith_short_8: 3GLOSZVI

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/3GLOSZVIHUPO6HALH3KJTX3FA7 \
  | 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: d996e966a83d1eef1c0b3ed499df6507c5b5be3b95d2fca6fdaae4e76df6f206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4bda56de4dcfd6d490179402e8f2c6c3f9b158105f2b39bf1f75099de67ef9",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-22T20:31:54Z",
    "title_canon_sha256": "a3037d4e3fb488351aaf3cc37b6051ec3658adc43700fd0c378e6731c3143ff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06473",
    "kind": "arxiv",
    "version": 3
  }
}