Pith Number

pith:EI6LI5J5

pith:2017:EI6LI5J5V73K4AEQOVKA4KQMP6

not attested not anchored not stored refs pending

The path algebra as a left adjoint functor

John MacQuarrie, Kostiantyn Iusenko

arxiv:1704.06152 v3 · 2017-04-20 · math.RA · 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{EI6LI5J5V73K4AEQOVKA4KQMP6}

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	2026-05-18T00:38:41.610451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

223cb4753daff6ae009075540e2a0c7f8bd10ce6fb02d85e09a8e5ea9b92f545

Aliases

arxiv: 1704.06152 · arxiv_version: 1704.06152v3 · doi: 10.48550/arxiv.1704.06152 · pith_short_12: EI6LI5J5V73K · pith_short_16: EI6LI5J5V73K4AEQ · pith_short_8: EI6LI5J5

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/EI6LI5J5V73K4AEQOVKA4KQMP6 \
  | 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: 223cb4753daff6ae009075540e2a0c7f8bd10ce6fb02d85e09a8e5ea9b92f545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9ae04360b266bf44b710fd896a295c00cca3549304c94c53de356f5628da66",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-04-20T14:04:54Z",
    "title_canon_sha256": "61917375e95789d437ff9bbb3546f9f16aa044c8dfc07e123df6fd630653afb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06152",
    "kind": "arxiv",
    "version": 3
  }
}