Pith Number

pith:P7ORLSKP

pith:2021:P7ORLSKPMTJNMZ5ZXHKOCV5M25

not attested not anchored not stored refs pending

Topological properties and algebraic independence of sets of prime-representing constants

Kota Saito, Wataru Takeda

arxiv:2112.14383 v2 · 2021-12-29 · math.NT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7ORLSKPMTJNMZ5ZXHKOCV5M25}

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	2026-07-05T04:16:16.690136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fdd15c94f64d2d667b9b9d4e157acd77c417a6bce6e6fc8b9ccc780a9cc0eca

Aliases

arxiv: 2112.14383 · arxiv_version: 2112.14383v2 · doi: 10.48550/arxiv.2112.14383 · pith_short_12: P7ORLSKPMTJN · pith_short_16: P7ORLSKPMTJNMZ5Z · pith_short_8: P7ORLSKP

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/P7ORLSKPMTJNMZ5ZXHKOCV5M25 \
  | 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: 7fdd15c94f64d2d667b9b9d4e157acd77c417a6bce6e6fc8b9ccc780a9cc0eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e97d79177a34759d5a2c4aaee26485ba40cccd0c3af01b910b84192b4a380f8",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-29T03:31:38Z",
    "title_canon_sha256": "f0cd50a00c3f402f701d784592db5ce33275c8b5c231cfb68cf78b15f3ee589e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14383",
    "kind": "arxiv",
    "version": 2
  }
}