Pith Number

pith:WXUYYYLY

pith:2009:WXUYYYLY6NKLU5BW45O2WRB3Z7

not attested not anchored not stored refs pending

Monomorphisms of Coalgebras

A.L. Agore

arxiv:0908.2959 v3 · 2009-08-20 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXUYYYLY6NKLU5BW45O2WRB3Z7}

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	2026-05-18T02:58:31.056758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e98c6178f354ba7436e75dab443bcfc78d517443c504f81f55a630cc7e52ec

Aliases

arxiv: 0908.2959 · arxiv_version: 0908.2959v3 · doi: 10.48550/arxiv.0908.2959 · pith_short_12: WXUYYYLY6NKL · pith_short_16: WXUYYYLY6NKLU5BW · pith_short_8: WXUYYYLY

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/WXUYYYLY6NKLU5BW45O2WRB3Z7 \
  | 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: b5e98c6178f354ba7436e75dab443bcfc78d517443c504f81f55a630cc7e52ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7124f57ba678a48cbef5389db36ccf222e63aabf0e9705dae3d50cc44ea8e635",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-08-20T16:49:40Z",
    "title_canon_sha256": "d9199cdbf9966c9c1144b04844776505b7f3fdcca03bdaa2bc21f38d1b6cca1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2959",
    "kind": "arxiv",
    "version": 3
  }
}