Pith Number

pith:PYXVGJHS

pith:2017:PYXVGJHSBVBJONV36G2DNRWKAW

not attested not anchored not stored refs pending

$\Sigma$-pure-injective modules for string algebras and linear relations

Raphael Bennett-Tennenhaus, William Crawley-Boevey

arxiv:1705.10145 v1 · 2017-05-29 · 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{PYXVGJHSBVBJONV36G2DNRWKAW}

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	2026-05-18T00:43:31.859113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e2f5324f20d429736bbf1b436c6ca058c0eb5ce3619615030514403873440b2

Aliases

arxiv: 1705.10145 · arxiv_version: 1705.10145v1 · doi: 10.48550/arxiv.1705.10145 · pith_short_12: PYXVGJHSBVBJ · pith_short_16: PYXVGJHSBVBJONV3 · pith_short_8: PYXVGJHS

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/PYXVGJHSBVBJONV36G2DNRWKAW \
  | 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: 7e2f5324f20d429736bbf1b436c6ca058c0eb5ce3619615030514403873440b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8fb1e48f47817a1433f28d6b657e5edfeed02003ef6edb898d5f1694e7e25dc",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-05-29T12:26:54Z",
    "title_canon_sha256": "a6138de0f129e68094d37478d7b87df9dd8265ce3716ebd748390fcec41935d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10145",
    "kind": "arxiv",
    "version": 1
  }
}