Pith Number

pith:GGFGMQNX

pith:2016:GGFGMQNXGQ3MUEU2NCI5Z2PYK6

not attested not anchored not stored refs pending

Prime Decomposition and the Iwasawa mu-invariant

Christian Maire, Farshid Hajir

arxiv:1601.04195 v1 · 2016-01-16 · 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{GGFGMQNXGQ3MUEU2NCI5Z2PYK6}

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	2026-05-18T01:22:45.646301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

318a6641b73436ca129a6891dce9f8578b3e2348e5870086001feae1526be5d3

Aliases

arxiv: 1601.04195 · arxiv_version: 1601.04195v1 · doi: 10.48550/arxiv.1601.04195 · pith_short_12: GGFGMQNXGQ3M · pith_short_16: GGFGMQNXGQ3MUEU2 · pith_short_8: GGFGMQNX

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/GGFGMQNXGQ3MUEU2NCI5Z2PYK6 \
  | 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: 318a6641b73436ca129a6891dce9f8578b3e2348e5870086001feae1526be5d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf51e4c5f91b69c2cb9b224743eb05c9339db56c7dec638a25331185c76235e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-16T18:35:12Z",
    "title_canon_sha256": "cda641f00a9efdfb175d50126fd4c4f6c0e1f45e269e1a0840ca5411c6d7952c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04195",
    "kind": "arxiv",
    "version": 1
  }
}