Pith Number

pith:CEOEKFDK

pith:2013:CEOEKFDKJX27Q4PIGE6QPFNTKO

not attested not anchored not stored refs pending

Independence Conditions for Nets of Local Algebras as Sheaf Conditions

Hans Halvorson, Sander A.M. Wolters

arxiv:1309.5639 v2 · 2013-09-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEOEKFDKJX27Q4PIGE6QPFNTKO}

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	2026-05-18T00:56:53.675725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

111c45146a4df5f871e8313d0795b3538503ccc8a637517f7704c6768d1ff7e4

Aliases

arxiv: 1309.5639 · arxiv_version: 1309.5639v2 · doi: 10.48550/arxiv.1309.5639 · pith_short_12: CEOEKFDKJX27 · pith_short_16: CEOEKFDKJX27Q4PI · pith_short_8: CEOEKFDK

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/CEOEKFDKJX27Q4PIGE6QPFNTKO \
  | 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: 111c45146a4df5f871e8313d0795b3538503ccc8a637517f7704c6768d1ff7e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f87df1451abda0f9fa210975ee2e5792e6d54defc09ac9b3efd6e33166273ff",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-22T19:38:42Z",
    "title_canon_sha256": "a259688478ce152ab9e231ce3c10a0c982a93af88bcfdda1565e91f3d61e84bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5639",
    "kind": "arxiv",
    "version": 2
  }
}