Pith Number

pith:7V6HRH2V

pith:2011:7V6HRH2VHOI56JOUBJG4PN5ZX4

not attested not anchored not stored refs pending

Galois representations attached to automorphic forms on GL_2 over CM fields

Chung Pang Mok

arxiv:1109.5392 v4 · 2011-09-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7V6HRH2VHOI56JOUBJG4PN5ZX4}

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	2026-05-17T23:53:36.485883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd7c789f553b91df25d40a4dc7b7b9bf1627c9b4be5559ebb419e5145360f8ef

Aliases

arxiv: 1109.5392 · arxiv_version: 1109.5392v4 · doi: 10.48550/arxiv.1109.5392 · pith_short_12: 7V6HRH2VHOI5 · pith_short_16: 7V6HRH2VHOI56JOU · pith_short_8: 7V6HRH2V

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/7V6HRH2VHOI56JOUBJG4PN5ZX4 \
  | 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: fd7c789f553b91df25d40a4dc7b7b9bf1627c9b4be5559ebb419e5145360f8ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b92e28dcd88b9555570382899b5ebade3fa07e543678d631a3e1270f349dbcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-25T20:05:06Z",
    "title_canon_sha256": "e85c91b8032dea2052d676b259c531fa458fe69328dc81ef036ea786e9382931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5392",
    "kind": "arxiv",
    "version": 4
  }
}