Pith Number

pith:LEGGSHGY

pith:2016:LEGGSHGYXQWBIXRAACJ6GYQY3I

not attested not anchored not stored refs pending

Convex spaces, affine spaces, and commutants for algebraic theories

Rory B. B. Lucyshyn-Wright

arxiv:1603.03351 v2 · 2016-03-10 · 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{LEGGSHGYXQWBIXRAACJ6GYQY3I}

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	2026-05-18T00:44:33.842482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

590c691cd8bc2c145e200093e36218da1268398789f9d1aa067742731ada09ee

Aliases

arxiv: 1603.03351 · arxiv_version: 1603.03351v2 · doi: 10.48550/arxiv.1603.03351 · pith_short_12: LEGGSHGYXQWB · pith_short_16: LEGGSHGYXQWBIXRA · pith_short_8: LEGGSHGY

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/LEGGSHGYXQWBIXRAACJ6GYQY3I \
  | 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: 590c691cd8bc2c145e200093e36218da1268398789f9d1aa067742731ada09ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2a56fdacf9791badc1c4d8e20814f13a75f5c6794dac28c13bf4950ad4c5fe",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-03-10T17:54:54Z",
    "title_canon_sha256": "377932555df0f9edeae3779bff16929bc8fc9e5b57a71b4c15716f205362f01a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03351",
    "kind": "arxiv",
    "version": 2
  }
}