Pith Number

pith:B6K2WDWW

pith:2016:B6K2WDWWIPS7FQMLP6S6LIXZCI

not attested not anchored not stored refs pending

Quasi-Galois theory in symmetric-monoidal categories

Bregje Pauwels

arxiv:1609.00145 v1 · 2016-09-01 · math.CT · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6K2WDWWIPS7FQMLP6S6LIXZCI}

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	2026-05-18T00:20:57.253866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f95ab0ed643e5f2c18b7fa5e5a2f912316514d2897d0735be0a24f83194e1dc

Aliases

arxiv: 1609.00145 · arxiv_version: 1609.00145v1 · doi: 10.48550/arxiv.1609.00145 · pith_short_12: B6K2WDWWIPS7 · pith_short_16: B6K2WDWWIPS7FQML · pith_short_8: B6K2WDWW

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/B6K2WDWWIPS7FQMLP6S6LIXZCI \
  | 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: 0f95ab0ed643e5f2c18b7fa5e5a2f912316514d2897d0735be0a24f83194e1dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a62c8ee3d111256a7ba13a00d4a176dff8bd5b87dedb2ddbf706fc6143b50a8",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-09-01T08:35:25Z",
    "title_canon_sha256": "c5caabce5238ff09ccf592ca74fd5d417e1afc8563aad5b1200e7df90bdc0ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00145",
    "kind": "arxiv",
    "version": 1
  }
}