Pith Number

pith:PJEIKJ5L

pith:2013:PJEIKJ5LAN6UXJVXYDTGY62A3R

not attested not anchored not stored refs pending

Lattice structure of torsion classes for path algebras

Gordana Todorov, Hugh Thomas, Idun Reiten, Osamu Iyama

arxiv:1312.3659 v2 · 2013-12-12 · 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{PJEIKJ5LAN6UXJVXYDTGY62A3R}

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	2026-05-18T00:44:29.267551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a488527ab037d4ba6b7c0e66c7b40dc73611f3a38dfceebdd2928ba6867f9d3

Aliases

arxiv: 1312.3659 · arxiv_version: 1312.3659v2 · doi: 10.48550/arxiv.1312.3659 · pith_short_12: PJEIKJ5LAN6U · pith_short_16: PJEIKJ5LAN6UXJVX · pith_short_8: PJEIKJ5L

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/PJEIKJ5LAN6UXJVXYDTGY62A3R \
  | 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: 7a488527ab037d4ba6b7c0e66c7b40dc73611f3a38dfceebdd2928ba6867f9d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a32b8040aff5e4c3aea79dd5ff51a9ed88f34617a6225278385bdce166d8634d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-12T21:47:41Z",
    "title_canon_sha256": "3c04cb3ec2da6de3040fd25ad75e1397f3029aaa7eb16d3e3348f851c6e118ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3659",
    "kind": "arxiv",
    "version": 2
  }
}