Pith Number

pith:MPAEIXFX

pith:2005:MPAEIXFX2EF3EMGZEG2TIN4PED

not attested not anchored not stored refs pending

Constructing Units in Product Systems

Michael Skeide, Volkmar Liebscher

arxiv:math/0510677 v1 · 2005-10-31 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPAEIXFX2EF3EMGZEG2TIN4PED}

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	2026-05-18T03:06:43.262540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c0445cb7d10bb230d921b534378f20fdede925234f64968ebe10ac04c0a954

Aliases

arxiv: math/0510677 · arxiv_version: math/0510677v1 · doi: 10.48550/arxiv.math/0510677 · pith_short_12: MPAEIXFX2EF3 · pith_short_16: MPAEIXFX2EF3EMGZ · pith_short_8: MPAEIXFX

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/MPAEIXFX2EF3EMGZEG2TIN4PED \
  | 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: 63c0445cb7d10bb230d921b534378f20fdede925234f64968ebe10ac04c0a954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9312cdf17282ab68eb845fa745b0038c2174612c863927ace8bb83c7b63ed1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-10-31T14:09:34Z",
    "title_canon_sha256": "7315f32aced0fb02ea2978c7c49a440768cbefd2b3170862359348dfd1952a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510677",
    "kind": "arxiv",
    "version": 1
  }
}