Pith Number

pith:LNS3EBY6

pith:2003:LNS3EBY67B5PFUJZDGYACVHFNK

not attested not anchored not stored refs pending

Partly Free Algebras from Directed Graphs

David W. Kribs, Stephen C. Power

arxiv:math/0309393 v1 · 2003-09-24 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNS3EBY67B5PFUJZDGYACVHFNK}

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	2026-07-04T14:50:34.431785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b65b2071ef87af2d13919b00154e56aa8785ad053561f2a709f3beaf42e81ac

Aliases

arxiv: math/0309393 · arxiv_version: math/0309393v1 · doi: 10.48550/arxiv.math/0309393 · pith_short_12: LNS3EBY67B5P · pith_short_16: LNS3EBY67B5PFUJZ · pith_short_8: LNS3EBY6

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/LNS3EBY67B5PFUJZDGYACVHFNK \
  | 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: 5b65b2071ef87af2d13919b00154e56aa8785ad053561f2a709f3beaf42e81ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1716c52eac3b712ecf1ec3a059791a36031fbb99270082dab7e2343fa98c409d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-09-24T01:59:24Z",
    "title_canon_sha256": "c71cc1630496d28d1ff945d1726ba28b1d633b6269fe5f8d9e73f5cec006d74d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309393",
    "kind": "arxiv",
    "version": 1
  }
}