Pith Number

pith:77UUTJ5Y

pith:2011:77UUTJ5YIP4NOER2ESQPIQLZFC

not attested not anchored not stored refs pending

Algebra with Conjugation

Aleks Kleyn

arxiv:1105.4307 v2 · 2011-05-22 · 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{77UUTJ5YIP4NOER2ESQPIQLZFC}

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	2026-05-18T03:41:11.209305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe949a7b843f8d7123a24a0f4417928b853f34f8032c252d338c08c4e6ba624

Aliases

arxiv: 1105.4307 · arxiv_version: 1105.4307v2 · doi: 10.48550/arxiv.1105.4307 · pith_short_12: 77UUTJ5YIP4N · pith_short_16: 77UUTJ5YIP4NOER2 · pith_short_8: 77UUTJ5Y

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/77UUTJ5YIP4NOER2ESQPIQLZFC \
  | 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: ffe949a7b843f8d7123a24a0f4417928b853f34f8032c252d338c08c4e6ba624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79fb6b2160dbdde0ed89c37d3660d0e6973db6305e754a52044608661eb61222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-05-22T04:42:05Z",
    "title_canon_sha256": "e8b86e53cc3b2053b66a7c0262fbad6140117e1b20890bb90f6dc9a84a3b1f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4307",
    "kind": "arxiv",
    "version": 2
  }
}