Pith Number

pith:SNE6PSGA

pith:2026:SNE6PSGAUMSOFVI6E25NRLCVNY

not attested not anchored not stored refs pending

Irrationality of finite logarithms in a congruence-class ad\`ele ring

Daniel Evans

arxiv:2607.27774 v1 · 2026-07-30 · 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{SNE6PSGAUMSOFVI6E25NRLCVNY}

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	2026-07-31T01:30:35.559108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

9349e7c8c0a324e2d51e26bad8ac556e1ebc8543d28486566ad20f3c564d9d2c

Aliases

arxiv: 2607.27774 · arxiv_version: 2607.27774v1 · doi: 10.48550/arxiv.2607.27774 · pith_short_12: SNE6PSGAUMSO · pith_short_16: SNE6PSGAUMSOFVI6 · pith_short_8: SNE6PSGA

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/SNE6PSGAUMSOFVI6E25NRLCVNY \
  | 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: 9349e7c8c0a324e2d51e26bad8ac556e1ebc8543d28486566ad20f3c564d9d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "babcf4a7a1b1becf553e137d09b4249225bbcb171fe19fe70de649b84602054d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-30T07:07:41Z",
    "title_canon_sha256": "e92f9e2457c0d560f8b4a22b06aa9b336ef5a84d15ecadf4fc2ff587d27310ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27774",
    "kind": "arxiv",
    "version": 1
  }
}