Pith Number

pith:SJ7NUQ2M

pith:2011:SJ7NUQ2MYG4B2YDVST4MKBQCVF

not attested not anchored not stored refs pending

Subgroupoids and Quotient Theories

Henrik Forssell

arxiv:1111.2952 v2 · 2011-11-12 · math.CT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJ7NUQ2MYG4B2YDVST4MKBQCVF}

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	2026-05-18T03:19:44.226369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

927eda434cc1b81d607594f8c50602a97cabc1a248eee3395ec181a63e9960e1

Aliases

arxiv: 1111.2952 · arxiv_version: 1111.2952v2 · doi: 10.48550/arxiv.1111.2952 · pith_short_12: SJ7NUQ2MYG4B · pith_short_16: SJ7NUQ2MYG4B2YDV · pith_short_8: SJ7NUQ2M

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/SJ7NUQ2MYG4B2YDVST4MKBQCVF \
  | 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: 927eda434cc1b81d607594f8c50602a97cabc1a248eee3395ec181a63e9960e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eedd80f0847d2e93a3a370979ddf7a5b536bb44a69664297c0d643b301fb483f",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-11-12T18:10:38Z",
    "title_canon_sha256": "be9f427dfb55298bb581a8012f13489163435ea2712cd6204a224d1ad2d5c9af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2952",
    "kind": "arxiv",
    "version": 2
  }
}