Pith Number

pith:4M5FCBKI

pith:2010:4M5FCBKIQN4TBNA6HVMF3CTYTB

not attested not anchored not stored refs pending

A note on Iwasawa-type decomposition

Philip Foth

arxiv:1010.0346 v1 · 2010-10-02 · math.RA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M5FCBKIQN4TBNA6HVMF3CTYTB}

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	2026-05-18T04:39:58.561659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33a510548837930b41e3d585d8a78984c937c53098b64ee58699728e3a3ac11

Aliases

arxiv: 1010.0346 · arxiv_version: 1010.0346v1 · doi: 10.48550/arxiv.1010.0346 · pith_short_12: 4M5FCBKIQN4T · pith_short_16: 4M5FCBKIQN4TBNA6 · pith_short_8: 4M5FCBKI

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/4M5FCBKIQN4TBNA6HVMF3CTYTB \
  | 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: e33a510548837930b41e3d585d8a78984c937c53098b64ee58699728e3a3ac11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dcb494051c2008aaa31c93fb8727caec421663d23811fcf800419c00779df7d",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-02T16:06:00Z",
    "title_canon_sha256": "f330d9e0019e49274ef4a3296161f17b968271543c624e96b9274f952c573e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0346",
    "kind": "arxiv",
    "version": 1
  }
}