Pith Number

pith:OWPFGD25

pith:2017:OWPFGD25EZ7T2JUAKQGZJETYI2

not attested not anchored not stored refs pending

The inverse hull of 0-left cancellative semigroups

B. Steinberg, R. Exel

arxiv:1710.04722 v1 · 2017-10-12 · math.OA · 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{OWPFGD25EZ7T2JUAKQGZJETYI2}

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	2026-05-18T00:32:56.917622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

759e530f5d267f3d2680540d94927846a6f96f969bd9bece3b30fea11b93cff0

Aliases

arxiv: 1710.04722 · arxiv_version: 1710.04722v1 · doi: 10.48550/arxiv.1710.04722 · pith_short_12: OWPFGD25EZ7T · pith_short_16: OWPFGD25EZ7T2JUA · pith_short_8: OWPFGD25

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/OWPFGD25EZ7T2JUAKQGZJETYI2 \
  | 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: 759e530f5d267f3d2680540d94927846a6f96f969bd9bece3b30fea11b93cff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eebe7c998c7cfea175b81e2176ccf9273073044bf5c0631b2c45b3cff05646ab",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-10-12T21:22:14Z",
    "title_canon_sha256": "b7bf23043dccbad76dcb327f5565e4b17ae67764dc6c2cc4ea9b58cd71cda5af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04722",
    "kind": "arxiv",
    "version": 1
  }
}