Pith Number

pith:K5R6HOXB

pith:2010:K5R6HOXBPLDTQRV4TGXXH6PLNI

not attested not anchored not stored refs pending

Polylinear Mapping of Free Algebra

Aleks Kleyn

arxiv:1011.3102 v1 · 2010-11-13 · 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{K5R6HOXBPLDTQRV4TGXXH6PLNI}

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	2026-05-18T04:35:56.522597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5763e3bae17ac73846bc99af73f9eb6a2eac3bcab63b9fb591b165a3510e38d2

Aliases

arxiv: 1011.3102 · arxiv_version: 1011.3102v1 · doi: 10.48550/arxiv.1011.3102 · pith_short_12: K5R6HOXBPLDT · pith_short_16: K5R6HOXBPLDTQRV4 · pith_short_8: K5R6HOXB

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/K5R6HOXBPLDTQRV4TGXXH6PLNI \
  | 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: 5763e3bae17ac73846bc99af73f9eb6a2eac3bcab63b9fb591b165a3510e38d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1177cb846a04179918f632397a698fb9d0aad70413b087a75a6f783a1b01dc64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-13T05:51:57Z",
    "title_canon_sha256": "517649a0bb4b73223e7cb877617bc46438249543317c4bd61d181c7127892a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3102",
    "kind": "arxiv",
    "version": 1
  }
}