Pith Number

pith:IMADMZP3

pith:2021:IMADMZP3JQ2VLMERNWN6OFUDAH

not attested not anchored not stored refs pending

Towards an Elementary Formulation of the Riemann Hypothesis in Terms of Permutation Groups

Jacob Tsimerman, Will Cavendish

arxiv:2108.09570 v3 · 2021-08-21 · 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{IMADMZP3JQ2VLMERNWN6OFUDAH}

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	2026-07-05T08:58:38.691695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43003665fb4c3555b0916d9be7168301d255a0367a766c8f6027d103e7bef0eb

Aliases

arxiv: 2108.09570 · arxiv_version: 2108.09570v3 · doi: 10.48550/arxiv.2108.09570 · pith_short_12: IMADMZP3JQ2V · pith_short_16: IMADMZP3JQ2VLMER · pith_short_8: IMADMZP3

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/IMADMZP3JQ2VLMERNWN6OFUDAH \
  | 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: 43003665fb4c3555b0916d9be7168301d255a0367a766c8f6027d103e7bef0eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5690467d261452e4ee3c49c32e2dc830c76a6420e3facf6c826419e9a52cb2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-21T19:39:40Z",
    "title_canon_sha256": "1ab543a77f3f138ae1cadb6f78c103920e4f5f762cd4b587e2567a09fe2bb046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.09570",
    "kind": "arxiv",
    "version": 3
  }
}