Pith Number

pith:EE4VBPZ3

pith:2008:EE4VBPZ3UYQ2M5G2MMTUMIQRGH

not attested not anchored not stored refs pending

Groupoid actions as quantale modules

Pedro Resende

arxiv:0807.3859 v2 · 2008-07-24 · math.CT · 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{EE4VBPZ3UYQ2M5G2MMTUMIQRGH}

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	2026-05-18T04:25:39.349647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

213950bf3ba621a674da632746221131e5c83b7e66d0a9cfb21904b503147d28

Aliases

arxiv: 0807.3859 · arxiv_version: 0807.3859v2 · doi: 10.48550/arxiv.0807.3859 · pith_short_12: EE4VBPZ3UYQ2 · pith_short_16: EE4VBPZ3UYQ2M5G2 · pith_short_8: EE4VBPZ3

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/EE4VBPZ3UYQ2M5G2MMTUMIQRGH \
  | 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: 213950bf3ba621a674da632746221131e5c83b7e66d0a9cfb21904b503147d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36068af2de7a4108bd52f529dfc8e4838224419a9c1b01ebcf2606fdf5262cad",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-07-24T11:59:50Z",
    "title_canon_sha256": "fae70a313565e468c15690e96f92acb6351cada898dbc9f970a90ea252fa8e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3859",
    "kind": "arxiv",
    "version": 2
  }
}