Pith Number

pith:D7QIWWAG

pith:2012:D7QIWWAGSWHERX4O2CO23OSKEW

not attested not anchored not stored refs pending

On the Harder-Narasimhan filtration for finite dimensional representations of quivers

Alfonso Zamora

arxiv:1210.5475 v2 · 2012-10-19 · math.AG · 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{D7QIWWAGSWHERX4O2CO23OSKEW}

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	2026-05-18T02:52:42.259819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe08b5806958e48df8ed09dadba4a2581ec53c23e26e3b8ae17c54f1af18441

Aliases

arxiv: 1210.5475 · arxiv_version: 1210.5475v2 · doi: 10.48550/arxiv.1210.5475 · pith_short_12: D7QIWWAGSWHE · pith_short_16: D7QIWWAGSWHERX4O · pith_short_8: D7QIWWAG

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/D7QIWWAGSWHERX4O2CO23OSKEW \
  | 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: 1fe08b5806958e48df8ed09dadba4a2581ec53c23e26e3b8ae17c54f1af18441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a10b8c2a1970b77701183f68b7fa85501e03e9e3d5d78cfe93d44c37b1c1b446",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-19T17:23:30Z",
    "title_canon_sha256": "105f0d6d30b63d3a3be5092b599e14908673bddedb6909b7d87491263c3d8422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5475",
    "kind": "arxiv",
    "version": 2
  }
}