Pith Number

pith:S7ECWMUT

pith:2017:S7ECWMUTBQAZB4F45NZNU3QJT7

not attested not anchored not stored refs pending

On universal objects in the class of graph inverse semigroups

Serhii Bardyla

arxiv:1709.01393 v3 · 2017-08-30 · math.GN · 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{S7ECWMUTBQAZB4F45NZNU3QJT7}

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	2026-05-18T00:03:41.701054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c82b32930c0190f0bceb72da6e099ffa22583b74f652d2b2c9d0d1ee4478e2

Aliases

arxiv: 1709.01393 · arxiv_version: 1709.01393v3 · doi: 10.48550/arxiv.1709.01393 · pith_short_12: S7ECWMUTBQAZ · pith_short_16: S7ECWMUTBQAZB4F4 · pith_short_8: S7ECWMUT

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/S7ECWMUTBQAZB4F45NZNU3QJT7 \
  | 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: 97c82b32930c0190f0bceb72da6e099ffa22583b74f652d2b2c9d0d1ee4478e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e6b023bffdd5e7afbf76173df7e9182a996cf810361d93b0de0002645607f9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-08-30T19:31:03Z",
    "title_canon_sha256": "4f7a6414ba51836547a6afd541f7343d424a16392ba2b87ff4f70a4ce348c412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01393",
    "kind": "arxiv",
    "version": 3
  }
}