Pith Number

pith:JC7SN5KY

pith:2011:JC7SN5KYUPZFVII75T5GUIQGCH

not attested not anchored not stored refs pending

Maass spaces on U(2,2) and the Bloch-Kato conjecture for the symmetric square motive of a modular form

Krzysztof Klosin

arxiv:1111.2002 v1 · 2011-11-08 · math.NT · 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{JC7SN5KYUPZFVII75T5GUIQGCH}

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	2026-05-18T04:09:03.613978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48bf26f558a3f25aa11fecfa6a220611f8723e5617dd147acf069589975f7530

Aliases

arxiv: 1111.2002 · arxiv_version: 1111.2002v1 · doi: 10.48550/arxiv.1111.2002 · pith_short_12: JC7SN5KYUPZF · pith_short_16: JC7SN5KYUPZFVII7 · pith_short_8: JC7SN5KY

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/JC7SN5KYUPZFVII75T5GUIQGCH \
  | 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: 48bf26f558a3f25aa11fecfa6a220611f8723e5617dd147acf069589975f7530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba4335926a893f9a369707749bac555d88e0d5b523946dcb5483df8fd9b62ba7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-08T18:15:42Z",
    "title_canon_sha256": "518ddf5c98f13fca0e553037b9199a7d4ffc9f880e4300e587c4a38047b45d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2002",
    "kind": "arxiv",
    "version": 1
  }
}