Pith Number

pith:HUMRWT2S

pith:2012:HUMRWT2SYQ7VGIXNMQLUG7BBKM

not attested not anchored not stored refs pending

The LS method for the classical groups in positive characteristic and the Riemann Hypothesis

Luis Alberto Lomel\'i

arxiv:1206.3186 v3 · 2012-06-14 · 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{HUMRWT2SYQ7VGIXNMQLUG7BBKM}

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	2026-05-18T02:03:45.546890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d191b4f52c43f5322ed6417437c21530aa688c88be6ce8f3475c643052363ac

Aliases

arxiv: 1206.3186 · arxiv_version: 1206.3186v3 · doi: 10.48550/arxiv.1206.3186 · pith_short_12: HUMRWT2SYQ7V · pith_short_16: HUMRWT2SYQ7VGIXN · pith_short_8: HUMRWT2S

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/HUMRWT2SYQ7VGIXNMQLUG7BBKM \
  | 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: 3d191b4f52c43f5322ed6417437c21530aa688c88be6ce8f3475c643052363ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d971ab023622879a13e2c9e939adc173b6485b78692bd7bcab1b7c41d6cb960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-14T17:17:10Z",
    "title_canon_sha256": "5ac856b72da9fc84d20dca99b8db110288c170f82670efb8584c5cfb6d60374b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3186",
    "kind": "arxiv",
    "version": 3
  }
}