Pith Number

pith:O4CFO6LN

pith:2010:O4CFO6LN4GHUZC3E37XFCMFDT4

not attested not anchored not stored refs pending

Some questions on spectrum and arithmetic of locally symmetric spaces

C. S. Rajan

arxiv:1010.5411 v1 · 2010-10-26 · math.NT · 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{O4CFO6LN4GHUZC3E37XFCMFDT4}

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	2026-05-18T04:38:38.813860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

770457796de18f4c8b64dfee5130a39f39cdf11b2dafa3ad3c271887aef1422b

Aliases

arxiv: 1010.5411 · arxiv_version: 1010.5411v1 · doi: 10.48550/arxiv.1010.5411 · pith_short_12: O4CFO6LN4GHU · pith_short_16: O4CFO6LN4GHUZC3E · pith_short_8: O4CFO6LN

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/O4CFO6LN4GHUZC3E37XFCMFDT4 \
  | 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: 770457796de18f4c8b64dfee5130a39f39cdf11b2dafa3ad3c271887aef1422b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49fd56c74b0723ccd309cb9fb923d1af7b21ce404f86b49f9f6f19c5064c219d",
    "cross_cats_sorted": [
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-26T14:24:51Z",
    "title_canon_sha256": "5dfab2fed51dc346fe9ef651b27ffea11743ab6029178afd6aeec336df1ccd62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5411",
    "kind": "arxiv",
    "version": 1
  }
}