Pith Number

pith:44YE53DS

pith:2004:44YE53DSJXUAY2K3AIYA5XC6IF

not attested not anchored not stored refs pending

Sur la nullit\'e du mu-invariant d'Iwasawa des corps totalement r\'eels

Daniel Barsky

arxiv:math/0405487 v2 · 2004-05-26 · 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{44YE53DSJXUAY2K3AIYA5XC6IF}

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	2026-05-18T04:12:56.633571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7304eec724de80c695b02300edc5e4167bd0424a4cdfd855aa0bc85302f388b

Aliases

arxiv: math/0405487 · arxiv_version: math/0405487v2 · doi: 10.48550/arxiv.math/0405487 · pith_short_12: 44YE53DSJXUA · pith_short_16: 44YE53DSJXUAY2K3 · pith_short_8: 44YE53DS

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/44YE53DSJXUAY2K3AIYA5XC6IF \
  | 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: e7304eec724de80c695b02300edc5e4167bd0424a4cdfd855aa0bc85302f388b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc9449b9921f8abb4c738e43b5a55f162c05b3f8d1310f70cc92c1a8fdcc13f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-05-26T11:00:43Z",
    "title_canon_sha256": "7a0374d127cb385803bc3e564912c2dd20a85c298148af1c0a9f4aacf3462055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405487",
    "kind": "arxiv",
    "version": 2
  }
}