Pith Number

pith:LJVLEVTR

pith:2013:LJVLEVTRL4XUOUXWAK5DO5JV6V

not attested not anchored not stored refs pending

The Breuil-Mezard conjecture for non-scalar split residual representations

Fucheng Tan, Yongquan Hu

arxiv:1309.1658 v2 · 2013-09-06 · 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{LJVLEVTRL4XUOUXWAK5DO5JV6V}

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	2026-05-18T02:37:42.998034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6ab256715f2f4752f602ba377535f55b0f15ae0c98f9dcaa6fe2aeb23c8669

Aliases

arxiv: 1309.1658 · arxiv_version: 1309.1658v2 · doi: 10.48550/arxiv.1309.1658 · pith_short_12: LJVLEVTRL4XU · pith_short_16: LJVLEVTRL4XUOUXW · pith_short_8: LJVLEVTR

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/LJVLEVTRL4XUOUXWAK5DO5JV6V \
  | 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: 5a6ab256715f2f4752f602ba377535f55b0f15ae0c98f9dcaa6fe2aeb23c8669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1ea47a337056f359bee74384f787c0dba7a4e64871a7cd9043ef8304dea99c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-06T14:46:16Z",
    "title_canon_sha256": "4f53b8eb12f416c49faff1554f3b74e3966d2d29ecd5471ec4e688bcaee8c392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1658",
    "kind": "arxiv",
    "version": 2
  }
}