Pith Number

pith:4K22NAJW

pith:2008:4K22NAJWX2BRUVLN2WI5CMVMEK

not attested not anchored not stored refs pending

Periodic elements of the free idempotent generated semigroup on a biordered set

David Easdown, Mark Sapir, Michael Volkov

arxiv:0811.1789 v1 · 2008-11-11 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K22NAJWX2BRUVLN2WI5CMVMEK}

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	2026-05-18T02:33:01.724165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b5a68136be831a556dd591d132ac2290d5c727bd88feeac33620722021184b

Aliases

arxiv: 0811.1789 · arxiv_version: 0811.1789v1 · doi: 10.48550/arxiv.0811.1789 · pith_short_12: 4K22NAJWX2BR · pith_short_16: 4K22NAJWX2BRUVLN · pith_short_8: 4K22NAJW

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/4K22NAJWX2BRUVLN2WI5CMVMEK \
  | 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: e2b5a68136be831a556dd591d132ac2290d5c727bd88feeac33620722021184b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb81f4d38f96c54059266cf38103bed2a38bc0152463b59954d3ba4c6b455e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-11-11T22:42:10Z",
    "title_canon_sha256": "afd1f8fe97c809ed514671f20e324577e6761527b3ba9924ded5fb5ff1c5ed69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1789",
    "kind": "arxiv",
    "version": 1
  }
}