Pith Number

pith:UORLMLYE

pith:2016:UORLMLYEKGI52GBDQ5R6IJB6CW

not attested not anchored not stored refs pending

On the periodicity of irreducible elements in arithmetical congruence monoids

Christopher O'Neill, Jacob Hartzer

arxiv:1606.00376 v1 · 2016-06-01 · 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{UORLMLYEKGI52GBDQ5R6IJB6CW}

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	2026-07-05T06:16:57.552641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a2b62f045191dd18238763e4243e15934c170ecc7e543956fb98eec2167d1b

Aliases

arxiv: 1606.00376 · arxiv_version: 1606.00376v1 · doi: 10.48550/arxiv.1606.00376 · pith_short_12: UORLMLYEKGI5 · pith_short_16: UORLMLYEKGI52GBD · pith_short_8: UORLMLYE

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/UORLMLYEKGI52GBDQ5R6IJB6CW \
  | 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: a3a2b62f045191dd18238763e4243e15934c170ecc7e543956fb98eec2167d1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c716de88fb1054aa13e16ccdbe835b71ebe8b451494d0d21d0ad5665101c88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-01T18:05:00Z",
    "title_canon_sha256": "1531b7bc62e67f0c8094cf8b06d7353031a522776acd17e4ca19f77f639dda13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00376",
    "kind": "arxiv",
    "version": 1
  }
}