Pith Number

pith:SGVZ5HMT

pith:2011:SGVZ5HMTS4WROZESOFWKUZPB4C

not attested not anchored not stored refs pending

Space functions and complexity of the word problem in semigroups

Alexander Olshanskii

arxiv:1111.1458 v1 · 2011-11-06 · 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{SGVZ5HMTS4WROZESOFWKUZPB4C}

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	2026-05-18T04:09:26.103227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91ab9e9d93972d176492716caa65e1e0a6a2909a6a828257ab5a686373093ed8

Aliases

arxiv: 1111.1458 · arxiv_version: 1111.1458v1 · doi: 10.48550/arxiv.1111.1458 · pith_short_12: SGVZ5HMTS4WR · pith_short_16: SGVZ5HMTS4WROZES · pith_short_8: SGVZ5HMT

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/SGVZ5HMTS4WROZESOFWKUZPB4C \
  | 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: 91ab9e9d93972d176492716caa65e1e0a6a2909a6a828257ab5a686373093ed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ae2074d3c8ae46e97b7b289cfd9d5c7be6d073b8f7d6d3919ffbbdc763d8d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-06T22:43:10Z",
    "title_canon_sha256": "662f504a8865c390cb98592b9340355960a408619e37746438425630a02df012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1458",
    "kind": "arxiv",
    "version": 1
  }
}