Pith Number

pith:XAXPRCDC

pith:2008:XAXPRCDCXEMGH7JYH5BURKIKNW

not attested not anchored not stored refs pending

Quantales of open groupoids

M. Clarence Protin, Pedro Resende

arxiv:0811.4539 v2 · 2008-11-27 · 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{XAXPRCDCXEMGH7JYH5BURKIKNW}

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	2026-05-18T03:53:29.823407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b82ef88862b91863fd383f4348a90a6d8e3e2d0bace73cca949b97a1e09e730d

Aliases

arxiv: 0811.4539 · arxiv_version: 0811.4539v2 · doi: 10.48550/arxiv.0811.4539 · pith_short_12: XAXPRCDCXEMG · pith_short_16: XAXPRCDCXEMGH7JY · pith_short_8: XAXPRCDC

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/XAXPRCDCXEMGH7JYH5BURKIKNW \
  | 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: b82ef88862b91863fd383f4348a90a6d8e3e2d0bace73cca949b97a1e09e730d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0936daa93779ac75a8cfd376ece90229b21702e255fa8e9ee7425fcd355d1d4",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-11-27T13:38:30Z",
    "title_canon_sha256": "a0a1cc1572dad6e6cfcbe8fc5213e29c526510c871a45f6529e72cce630aa842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4539",
    "kind": "arxiv",
    "version": 2
  }
}