Pith Number

pith:HSY2EOV4

pith:2013:HSY2EOV4K4SBTJMQ7CALXIMQYF

not attested not anchored not stored refs pending

l-independence for Compatible Systems of (mod l) Representations

Chun Yin Hui

arxiv:1305.2001 v5 · 2013-05-09 · 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{HSY2EOV4K4SBTJMQ7CALXIMQYF}

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	2026-05-18T01:36:15.865676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb1a23abc572419a590f880bba190c1679df29b3db99add3f85933538dddc2f

Aliases

arxiv: 1305.2001 · arxiv_version: 1305.2001v5 · doi: 10.48550/arxiv.1305.2001 · pith_short_12: HSY2EOV4K4SB · pith_short_16: HSY2EOV4K4SBTJMQ · pith_short_8: HSY2EOV4

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/HSY2EOV4K4SBTJMQ7CALXIMQYF \
  | 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: 3cb1a23abc572419a590f880bba190c1679df29b3db99add3f85933538dddc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e88339497b60d164641254ea64ec6169782cfee5f4320e9bdaffede0540a30de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-09T03:24:43Z",
    "title_canon_sha256": "0734037151985cebddf2d3e132c71f63f46fc8271de80ec9ba4125ab6cf01619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2001",
    "kind": "arxiv",
    "version": 5
  }
}