Pith Number

pith:YHEX3FWO

pith:2024:YHEX3FWOOIXLMUFOXLJVXXYOVL

not attested not anchored not stored refs pending

A sieve formula for chains of $p$-subgroups

Elias Schwesig

arxiv:2407.13636 v1 · 2024-07-18 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHEX3FWOOIXLMUFOXLJVXXYOVL}

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	2026-07-05T08:45:41.657495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1c97d96ce722eb650aebad35bdf0eaad3209eb7a6ad00f326b1eccbcd206d36

Aliases

arxiv: 2407.13636 · arxiv_version: 2407.13636v1 · doi: 10.48550/arxiv.2407.13636 · pith_short_12: YHEX3FWOOIXL · pith_short_16: YHEX3FWOOIXLMUFO · pith_short_8: YHEX3FWO

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/YHEX3FWOOIXLMUFOXLJVXXYOVL \
  | 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: c1c97d96ce722eb650aebad35bdf0eaad3209eb7a6ad00f326b1eccbcd206d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38205b66e7e42af0f7456ecafcbe56f3070cb6751a40998836a55f3e06ef90f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-07-18T16:09:57Z",
    "title_canon_sha256": "d5f6a36c874be64a85e035c4612cec4a40df71a2daacc130defce3f7d8d072ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13636",
    "kind": "arxiv",
    "version": 1
  }
}