Pith Number

pith:6C4BQUIN

pith:2010:6C4BQUINVTBBIQLTIJNTIYCEJK

not attested not anchored not stored refs pending

A Haar component for quantum limits on locally symmetric spaces

Lior Silberman, Nalini Anantharaman (LM-Orsay)

arxiv:1009.4927 v1 · 2010-09-24 · math.AP · math.DS · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6C4BQUINVTBBIQLTIJNTIYCEJK}

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	2026-05-18T04:40:20.959406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0b818510dacc2144173425b3460444aa0c7db420a228d4e0d177ea25c61209b

Aliases

arxiv: 1009.4927 · arxiv_version: 1009.4927v1 · doi: 10.48550/arxiv.1009.4927 · pith_short_12: 6C4BQUINVTBB · pith_short_16: 6C4BQUINVTBBIQLT · pith_short_8: 6C4BQUIN

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/6C4BQUINVTBBIQLTIJNTIYCEJK \
  | 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: f0b818510dacc2144173425b3460444aa0c7db420a228d4e0d177ea25c61209b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c564414378843664fd38d7811ec4a2d7c8432d1c696d53360d990e94faeda21",
    "cross_cats_sorted": [
      "math.DS",
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-24T19:58:19Z",
    "title_canon_sha256": "1de8d9e6c8c373f82b51e2e5d7b6c2ff247a1adacdbf40675ef086c2c06b1e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4927",
    "kind": "arxiv",
    "version": 1
  }
}