Pith Number

pith:V5C5KP2F

pith:2016:V5C5KP2FMZXW4FILONOT3HVHU5

not attested not anchored not stored refs pending

Prospecies of algebras I: Basic properties

Julian K\"ulshammer

arxiv:1608.01934 v2 · 2016-08-05 · 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{V5C5KP2FMZXW4FILONOT3HVHU5}

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	2026-05-18T00:49:32.261500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af45d53f45666f6e150b735d3d9ea7a7714e6ceba4c68b0f55a9738b5de7b054

Aliases

arxiv: 1608.01934 · arxiv_version: 1608.01934v2 · doi: 10.48550/arxiv.1608.01934 · pith_short_12: V5C5KP2FMZXW · pith_short_16: V5C5KP2FMZXW4FIL · pith_short_8: V5C5KP2F

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/V5C5KP2FMZXW4FILONOT3HVHU5 \
  | 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: af45d53f45666f6e150b735d3d9ea7a7714e6ceba4c68b0f55a9738b5de7b054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8690b01f44b444ef06595d2178edeb7207b533fb6e370ddd8f8a95f4bcf440fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-05T16:54:07Z",
    "title_canon_sha256": "a6941fd53f43f427522bf2b013ace798943793ecc641955001ad5f35e82b2b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01934",
    "kind": "arxiv",
    "version": 2
  }
}