Pith Number

pith:7H7EQ64D

pith:2013:7H7EQ64DTLHKKVDIZYXNNLKXZE

not attested not anchored not stored refs pending

Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras

Justyna Kosakowska

arxiv:1306.6270 v1 · 2013-06-26 · 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{7H7EQ64DTLHKKVDIZYXNNLKXZE}

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	2026-05-18T03:19:55.456894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9fe487b839acea55468ce2ed6ad57c90f64d74f01dd82d7b3894cdc23c08105

Aliases

arxiv: 1306.6270 · arxiv_version: 1306.6270v1 · doi: 10.48550/arxiv.1306.6270 · pith_short_12: 7H7EQ64DTLHK · pith_short_16: 7H7EQ64DTLHKKVDI · pith_short_8: 7H7EQ64D

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/7H7EQ64DTLHKKVDIZYXNNLKXZE \
  | 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: f9fe487b839acea55468ce2ed6ad57c90f64d74f01dd82d7b3894cdc23c08105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277b281be8d03f4fa5998bb4fec77b9eb2824a070f845b149268bf07ed742c6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-06-26T15:17:20Z",
    "title_canon_sha256": "c7d04495861decc4144a83acace565339b04c930f2b49d0eac2411488c8ecd79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6270",
    "kind": "arxiv",
    "version": 1
  }
}