Pith Number

pith:P2L6TRDG

pith:2025:P2L6TRDGH4RXNTQJKKTY6ITJH3

not attested not anchored not stored refs pending

What are the extended pure inner forms of a cover?

Luozi Shi, Yifei Zhao

arxiv:2506.08696 v1 · 2025-06-10 · math.RT · 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{P2L6TRDGH4RXNTQJKKTY6ITJH3}

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	2026-07-05T11:19:11.990260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e97e9c4663f2376ce0952a78f22693efd4e1f94d025e5d7f6242bf4838b9243

Aliases

arxiv: 2506.08696 · arxiv_version: 2506.08696v1 · doi: 10.48550/arxiv.2506.08696 · pith_short_12: P2L6TRDGH4RX · pith_short_16: P2L6TRDGH4RXNTQJ · pith_short_8: P2L6TRDG

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/P2L6TRDGH4RXNTQJKKTY6ITJH3 \
  | 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: 7e97e9c4663f2376ce0952a78f22693efd4e1f94d025e5d7f6242bf4838b9243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ebf7100ef1e336de7d2e8e6c3667052ec761a36cd107a3b4e80147759aed6c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-06-10T11:22:59Z",
    "title_canon_sha256": "0fb1c7391838fde1e48948d7c369169e8d4d9e35c6d082ec434e192e06df78f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08696",
    "kind": "arxiv",
    "version": 1
  }
}