Pith Number

pith:Y6B4A5VB

pith:2013:Y6B4A5VBEFZMTDJT7MUFXONJRN

not attested not anchored not stored refs pending

Independence of l-adic representations of geometric Galois groups

Gebhard Boeckle, Wojciech Gajda an Sebastian Petersen

arxiv:1302.6597 v2 · 2013-02-26 · 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{Y6B4A5VBEFZMTDJT7MUFXONJRN}

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	2026-05-18T03:10:26.683043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c783c076a12172c98d33fb285bb9a98b46821c20556e8bc430a8af1fd9fa3a06

Aliases

arxiv: 1302.6597 · arxiv_version: 1302.6597v2 · doi: 10.48550/arxiv.1302.6597 · pith_short_12: Y6B4A5VBEFZM · pith_short_16: Y6B4A5VBEFZMTDJT · pith_short_8: Y6B4A5VB

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/Y6B4A5VBEFZMTDJT7MUFXONJRN \
  | 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: c783c076a12172c98d33fb285bb9a98b46821c20556e8bc430a8af1fd9fa3a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "083a4e99c341324d23cf6fb1d20f15b4dffb6b0ca3543adb2de576d7d8b169ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-26T21:05:28Z",
    "title_canon_sha256": "e5e2698885bdd752226b3dc5d4f3809f7ccc8e6da97e91368ce329593dac3755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6597",
    "kind": "arxiv",
    "version": 2
  }
}