Pith Number

pith:JO2BT5DA

pith:2015:JO2BT5DA7UQAVFLMPCIDJPKOMQ

not attested not anchored not stored refs pending

The characteristic polynomial of an algebra and representations

Ian Shipman, Rajesh S. Kulkarni, Yusuf Mustopa

arxiv:1507.08361 v1 · 2015-07-30 · 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{JO2BT5DA7UQAVFLMPCIDJPKOMQ}

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	2026-05-18T01:36:07.629933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb419f460fd200a956c789034bd4e6428c20610f52b03d96222957f56d0ca07

Aliases

arxiv: 1507.08361 · arxiv_version: 1507.08361v1 · doi: 10.48550/arxiv.1507.08361 · pith_short_12: JO2BT5DA7UQA · pith_short_16: JO2BT5DA7UQAVFLM · pith_short_8: JO2BT5DA

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/JO2BT5DA7UQAVFLMPCIDJPKOMQ \
  | 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: 4bb419f460fd200a956c789034bd4e6428c20610f52b03d96222957f56d0ca07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3adcf9f428577990225e9345fb77e276d84a50959d448b99e5ef27d52494debf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-07-30T02:18:26Z",
    "title_canon_sha256": "3c759ba22409a551b6fe38ff3e0c4e385fc7b9baa70304c7aca3f559f241550b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08361",
    "kind": "arxiv",
    "version": 1
  }
}