Pith Number

pith:RL3XZLIM

pith:2014:RL3XZLIM7M37QC7YMNYIIFSJA5

not attested not anchored not stored refs pending

Deformations of polarized automorphic Galois representations and adjoint Selmer groups

Patrick B. Allen

arxiv:1411.7661 v2 · 2014-11-27 · 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{RL3XZLIM7M37QC7YMNYIIFSJA5}

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	2026-05-18T01:00:46.353529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8af77cad0cfb37f80bf86370841649074adcb43551144250e84d20283485531a

Aliases

arxiv: 1411.7661 · arxiv_version: 1411.7661v2 · doi: 10.48550/arxiv.1411.7661 · pith_short_12: RL3XZLIM7M37 · pith_short_16: RL3XZLIM7M37QC7Y · pith_short_8: RL3XZLIM

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/RL3XZLIM7M37QC7YMNYIIFSJA5 \
  | 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: 8af77cad0cfb37f80bf86370841649074adcb43551144250e84d20283485531a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de29fc2d34d985799360f74962f64c1d0f56c1dd4050b401794e3ff317e6f10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-27T17:39:14Z",
    "title_canon_sha256": "dc9312d8d01344db440889f5b93c99c9c63062df255bf71c81bb80dc0f7d7bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7661",
    "kind": "arxiv",
    "version": 2
  }
}