Pith Number

pith:F4BUTAVC

pith:2013:F4BUTAVCPUORA2JQSAA46SS6UB

not attested not anchored not stored refs pending

Modularity of nearly ordinary 2-adic residually dihedral Galois representations

Patrick B. Allen

arxiv:1301.1113 v2 · 2013-01-07 · 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{F4BUTAVCPUORA2JQSAA46SS6UB}

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	2026-05-18T02:37:43.070851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f034982a27d1d1069309001cf4a5ea07ac6c00e036372eccdae6831710a4032

Aliases

arxiv: 1301.1113 · arxiv_version: 1301.1113v2 · doi: 10.48550/arxiv.1301.1113 · pith_short_12: F4BUTAVCPUOR · pith_short_16: F4BUTAVCPUORA2JQ · pith_short_8: F4BUTAVC

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/F4BUTAVCPUORA2JQSAA46SS6UB \
  | 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: 2f034982a27d1d1069309001cf4a5ea07ac6c00e036372eccdae6831710a4032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833b454c0e45a29a394745071d5b28f9f35245ae5ec209c4fb32975e3abc4da8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-07T05:42:17Z",
    "title_canon_sha256": "eb6f00276e22514f7f39771a9d93864054b511b894d02bccf08f94bbb944000d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1113",
    "kind": "arxiv",
    "version": 2
  }
}