Pith Number

pith:O7LRJX6H

pith:2014:O7LRJX6HI5QFGSO6VV33AAJOEM

not attested not anchored not stored refs pending

Co- Versus Contravariant Finiteness of Categories of Representations

B. Huisgen-Zimmermann, S. O. Smal\o

arxiv:1407.2300 v1 · 2014-07-08 · math.RT · 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{O7LRJX6HI5QFGSO6VV33AAJOEM}

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	2026-05-18T02:48:02.629142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d714dfc747605349dead77b0012e231ea7386fa1a0eace12867b39cb1200d1

Aliases

arxiv: 1407.2300 · arxiv_version: 1407.2300v1 · doi: 10.48550/arxiv.1407.2300 · pith_short_12: O7LRJX6HI5QF · pith_short_16: O7LRJX6HI5QFGSO6 · pith_short_8: O7LRJX6H

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/O7LRJX6HI5QFGSO6VV33AAJOEM \
  | 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: 77d714dfc747605349dead77b0012e231ea7386fa1a0eace12867b39cb1200d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7231578ae61e39ec970514996a997570d9a1204b18237b1f33778ee9361b7e27",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-07-08T23:57:57Z",
    "title_canon_sha256": "ba96d79ac8df54f22e31febce8841de49334a827e7ef8f865d92f725ad47e03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2300",
    "kind": "arxiv",
    "version": 1
  }
}